Index

A

action() (msinvar.invariants.Transform method) adams() (msinvar.tm_polynomials.TMPolynomialRing method) add() (msinvar.utils.vec static method) add_arrow() (msinvar.brane_tilings.Atom method) add_new_arrows() (msinvar.brane_tilings.BTQuiver method) add_ring() (msinvar.lambda_rings.LambdaRings static method)

arrow_num() (msinvar.quivers.Quiver method) arrows() (msinvar.quivers.Quiver method) Atom (class in msinvar.brane_tilings) attr_stab() (msinvar.wall_crossing.WallCrossingStructure method) attr_tree_formula() (in module msinvar.flow_trees) (msinvar.wall_crossing.WallCrossingStructure method) attr_tree_transform() (in module msinvar.flow_trees)

B

basis() (msinvar.utils.vec static method) BT_example() (in module msinvar.brane_tilings)

BTQuiver (class in msinvar.brane_tilings) Bun() (msinvar.curve_DT.Curve method) Bun_tw() (msinvar.curve_DT.Curve method)

C

cache() (in module msinvar.utils) ChainQuiver (class in msinvar.quivers) check() (msinvar.stability.Stability static method) coeff() (msinvar.tm_polynomials.TMPolynomial method) compare() (msinvar.stability.Stability method) create_path_poset() (msinvar.brane_tilings.BTQuiver method)

crystal_dict() (in module msinvar.brane_tilings) (msinvar.brane_tilings.BTQuiver method) Curve (class in msinvar.curve_DT) CurveAlgebra (class in msinvar.higgs_bundles) cyclic_potential_total() (in module msinvar.potential_quiver_invar) CyclicQuiver (class in msinvar.quivers)

D

default_adams() (in module msinvar.lambda_rings) dict() (msinvar.invariants.Invariant method) (msinvar.invariants.Transform method)

dim() (msinvar.stability.Stability method) disp() (in module msinvar.utils) dot() (msinvar.utils.vec static method)

E

eform() (msinvar.curve_DT.Curve method) (msinvar.quivers.Quiver method) (msinvar.wall_crossing.WallCrossingStructure method) Element (msinvar.tm_polynomials.TMPolynomialRing attribute) equal() (msinvar.brane_tilings.Atom method) (msinvar.stability.Stability method) (msinvar.utils.vec static method)

Exp() (in module msinvar.tm_polynomials) (msinvar.invariants.Invariant method) exp() (msinvar.invariants.Invariant method) Exp() (msinvar.tm_polynomials.TMPolynomial method) exp() (msinvar.tm_polynomials.TMPolynomial method) exp_map() (in module msinvar.invariants) exp_transform() (in module msinvar.invariants)

F

flow_tree_formula() (in module msinvar.flow_trees) (msinvar.wall_crossing.WallCrossingStructure method)

G

gen() (msinvar.rings.SR1 method) get_eform_matrix() (msinvar.quivers.Quiver method) get_prec() (msinvar.invariants.Invariant method)

get_ring() (msinvar.invariants.Invariant method) get_sform_matrix() (msinvar.quivers.Quiver method) Ginzburg_PQ() (msinvar.quivers.Quiver method)

H

H() (msinvar.higgs_bundles.CurveAlgebra method) has_slope() (msinvar.stability.Stability method)

HN_transform() (in module msinvar.invariants) hua_formula() (in module msinvar.indecomposable) hua_formula_dict() (in module msinvar.indecomposable)

I

ideal_dim() (msinvar.brane_tilings.BTQuiver method) ideals() (msinvar.posets.Poset method) ind_dim() (msinvar.potential_quiver_invar.QuiverExample1 method) (msinvar.quivers.ChainQuiver method) (msinvar.quivers.CyclicQuiver method) (msinvar.quivers.Quiver method) ind_hom() (msinvar.potential_quiver_invar.QuiverExample1 method) (msinvar.quivers.ChainQuiver method) (msinvar.quivers.CyclicQuiver method) (msinvar.quivers.Quiver method) ind_list() (msinvar.potential_quiver_invar.QuiverExample1 method) (msinvar.quivers.ChainQuiver method) (msinvar.quivers.CyclicQuiver method) (msinvar.quivers.Quiver method) ind_shift() (msinvar.quivers.CyclicQuiver method) ind_tau() (msinvar.potential_quiver_invar.QuiverExample1 method) indivisible() (in module msinvar.invariants) info() (in module msinvar.utils) int2rat() (msinvar.wall_crossing.WallCrossingStructure method) int2rat_num() (in module msinvar.invariants) int2stk() (msinvar.wall_crossing.WallCrossingStructure method)

int_from_total() (msinvar.wall_crossing.WallCrossingStructure method) intAtt() (msinvar.wall_crossing.WallCrossingStructure method) intAtt2total() (msinvar.wall_crossing.WallCrossingStructure method) intAtt_default() (msinvar.wall_crossing.WallCrossingStructure method) intAtt_from_crystals() (in module msinvar.brane_tilings) (msinvar.brane_tilings.BTQuiver method) intDT() (msinvar.curve_DT.Curve method) intDT_val() (msinvar.curve_DT.Curve method) IntegerVectors_iterator() (in module msinvar.iterators) interaction_invariant() (in module msinvar.potential_quiver_invar) invar() (msinvar.tm_polynomials.TMPolynomial method) Invariant (class in msinvar.invariants) inverse() (msinvar.invariants.Transform method) invert() (msinvar.tm_polynomials.TMPolynomial method) IPsi() (in module msinvar.tm_polynomials) (msinvar.invariants.Invariant method) (msinvar.tm_polynomials.TMPolynomial method) IPsi_map() (in module msinvar.invariants) is_generic() (msinvar.stability.Stability method) isiterable() (in module msinvar.utils) iszero() (msinvar.utils.vec static method)

J

JordanQuiver() (in module msinvar.quivers)

joyce_sign() (in module msinvar.invariants) joyce_transform() (in module msinvar.invariants)

K

KroneckerQuiver() (in module msinvar.quivers)

L

LambdaRings (class in msinvar.lambda_rings) le() (msinvar.utils.vec static method) le_prec() (msinvar.tm_polynomials.TMPolynomial method) (msinvar.tm_polynomials.TMPolynomialRing method) less() (msinvar.stability.Stability method) lesseq() (msinvar.stability.Stability method) ListPartitions_iterator() (in module msinvar.iterators)

Log() (in module msinvar.tm_polynomials) (msinvar.invariants.Invariant method) log() (msinvar.invariants.Invariant method) Log() (msinvar.tm_polynomials.TMPolynomial method) log() (msinvar.tm_polynomials.TMPolynomial method) log_map() (in module msinvar.invariants) log_transform() (in module msinvar.invariants) lower_closure() (msinvar.posets.Poset method)

M

module msinvar.brane_tilings msinvar.curve_DT msinvar.flow_trees msinvar.higgs_bundles msinvar.indecomposable msinvar.invariants msinvar.iterators msinvar.lambda_rings msinvar.posets msinvar.potential_quiver_invar msinvar.quivers msinvar.rings msinvar.stability msinvar.tm_polynomials msinvar.utils msinvar.wall_crossing msinvar.brane_tilings module msinvar.curve_DT module msinvar.flow_trees module msinvar.higgs_bundles module msinvar.indecomposable module

msinvar.invariants module msinvar.iterators module msinvar.lambda_rings module msinvar.posets module msinvar.potential_quiver_invar module msinvar.quivers module msinvar.rings module msinvar.stability module msinvar.tm_polynomials module msinvar.utils module msinvar.wall_crossing module MultiPartitions_iterator() (in module msinvar.iterators) MultiPartitionsLE_iterator() (in module msinvar.iterators) Multiplicities_iterator() (in module msinvar.iterators)

N

NCDT() (in module msinvar.brane_tilings) (msinvar.brane_tilings.BTQuiver method)

ngens() (msinvar.rings.SR1 method) normalize() (msinvar.stability.Stability method)

O

Om() (msinvar.wall_crossing.WallCrossingStructure method) OmAtt() (msinvar.wall_crossing.WallCrossingStructure method) Omb() (msinvar.wall_crossing.WallCrossingStructure method) OmbAtt() (msinvar.wall_crossing.WallCrossingStructure method) Omh() (msinvar.wall_crossing.WallCrossingStructure method)

OmhAtt() (msinvar.wall_crossing.WallCrossingStructure method) OrderedMultiPartitions_iterator() (in module msinvar.iterators) OrderedMultiPartitionsLE_iterator() (in module msinvar.iterators) OrderedPartitions_iterator() (in module msinvar.iterators) OrderedPartitionsLE_iterator() (in module msinvar.iterators)

P

P() (msinvar.curve_DT.Curve method) partition_func() (in module msinvar.brane_tilings) (msinvar.brane_tilings.BTQuiver method) partition_func1() (in module msinvar.brane_tilings) (msinvar.brane_tilings.BTQuiver method) path2vec() (msinvar.brane_tilings.BTQuiver method) permIndex() (in module msinvar.flow_trees) pExp() (msinvar.invariants.Invariant method) pexp() (msinvar.invariants.Invariant method) pExp() (msinvar.tm_polynomials.TMPolynomial method) pexp_fast() (in module msinvar.invariants) pexp_map() (in module msinvar.invariants) phi() (in module msinvar.utils) plethysm() (msinvar.invariants.Transform method) pLog() (msinvar.invariants.Invariant method) plog() (msinvar.invariants.Invariant method) pLog() (msinvar.tm_polynomials.TMPolynomial method)

plog_fast() (in module msinvar.invariants) plog_map() (in module msinvar.invariants) poch() (in module msinvar.utils) poly() (msinvar.invariants.Invariant method) (msinvar.wall_crossing.WallCrossingStructure method) Poset (class in msinvar.posets) potential() (msinvar.quivers.Quiver method) prec() (msinvar.tm_polynomials.TMPolynomialRing method) (msinvar.wall_crossing.WallCrossingStructure method) prec_num() (msinvar.tm_polynomials.TMPolynomial method) (msinvar.tm_polynomials.TMPolynomialRing method) pred() (msinvar.posets.Poset method) proportional() (in module msinvar.invariants) Psi() (in module msinvar.tm_polynomials) (msinvar.invariants.Invariant method) (msinvar.tm_polynomials.TMPolynomial method) Psi_map() (in module msinvar.invariants)

Q

Quiver (class in msinvar.quivers)

QuiverExample1 (class in msinvar.potential_quiver_invar)

R

randomize() (msinvar.stability.Stability method) rank() (msinvar.wall_crossing.WallCrossingStructure method) rat2int() (msinvar.wall_crossing.WallCrossingStructure method) rat2int_num() (in module msinvar.invariants) rat2stk() (msinvar.wall_crossing.WallCrossingStructure method) rat_from_total() (msinvar.wall_crossing.WallCrossingStructure method) ratAtt() (msinvar.wall_crossing.WallCrossingStructure method) ratAtt2total() (msinvar.wall_crossing.WallCrossingStructure method) ratAtt_default() (msinvar.wall_crossing.WallCrossingStructure method) ratAtt_from_crystals() (in module msinvar.brane_tilings) (msinvar.brane_tilings.BTQuiver method)

RationalFunction (class in msinvar.rings) RationalFunctionField (class in msinvar.rings) recursive_inversion() (in module msinvar.invariants) reineke_sign() (in module msinvar.invariants) reineke_transform() (in module msinvar.invariants) restrict() (msinvar.invariants.Invariant method) (msinvar.tm_polynomials.TMPolynomial method) RF (in module msinvar.rings) root_vars() (in module msinvar.rings) (msinvar.invariants.Invariant method) (msinvar.rings.RationalFunction method)

S

s() (msinvar.quivers.Quiver method) scal() (msinvar.utils.vec static method) self_stab() (msinvar.wall_crossing.WallCrossingStructure method) series() (msinvar.invariants.Invariant method) (msinvar.wall_crossing.WallCrossingStructure method) set_plots() (in module msinvar.utils) sform() (msinvar.curve_DT.Curve method) (msinvar.quivers.Quiver method) (msinvar.wall_crossing.WallCrossingStructure method) shift() (msinvar.quivers.CyclicQuiver method) simp() (in module msinvar.flow_trees) (msinvar.invariants.Invariant method) (msinvar.rings.RationalFunction method) simple() (msinvar.wall_crossing.WallCrossingStructure method) slope() (msinvar.stability.Stability method) SR1 (class in msinvar.rings) Stability (class in msinvar.stability) stable() (msinvar.curve_DT.Curve method) (msinvar.wall_crossing.WallCrossingStructure method) stable_from_stacky() (msinvar.wall_crossing.WallCrossingStructure method) stable_from_total() (msinvar.wall_crossing.WallCrossingStructure method)

stable_val() (msinvar.curve_DT.Curve method) stacky() (msinvar.curve_DT.Curve method) (msinvar.wall_crossing.WallCrossingStructure method) stacky2total() (msinvar.wall_crossing.WallCrossingStructure method) stacky2total_algo1() (in module msinvar.wall_crossing) stacky2total_algo2() (in module msinvar.wall_crossing) stacky_from_total() (msinvar.wall_crossing.WallCrossingStructure method) stacky_val() (msinvar.curve_DT.Curve method) stk2int() (msinvar.wall_crossing.WallCrossingStructure method) stk2rat() (msinvar.wall_crossing.WallCrossingStructure method) stk2stk() (msinvar.wall_crossing.WallCrossingStructure method) stkAtt() (msinvar.wall_crossing.WallCrossingStructure method) stkAtt2total() (msinvar.wall_crossing.WallCrossingStructure method) stkAtt_default() (msinvar.wall_crossing.WallCrossingStructure method) sub() (msinvar.utils.vec static method) subs() (msinvar.invariants.Invariant method) (msinvar.tm_polynomials.TMPolynomial method) subs_base() (msinvar.tm_polynomials.TMPolynomial method) Subsets_iterator() (in module msinvar.iterators) succ() (msinvar.posets.Poset method) super_categories() (msinvar.lambda_rings.LambdaRings method) symbolic() (msinvar.rings.RationalFunctionField method)

T

t() (msinvar.quivers.Quiver method) tau() (msinvar.potential_quiver_invar.QuiverExample1 method) term_twist() (msinvar.invariants.Invariant method) (msinvar.tm_polynomials.TMPolynomial method) timer() (in module msinvar.utils) TMPoly (in module msinvar.tm_polynomials) TMPolynomial (class in msinvar.tm_polynomials) TMPolynomialRing (class in msinvar.tm_polynomials) to_series() (msinvar.invariants.Invariant method) total() (msinvar.quivers.TranslationPQ method) (msinvar.wall_crossing.WallCrossingStructure method) total2stacky_algo1() (in module msinvar.wall_crossing) total2stacky_algo2() (in module msinvar.wall_crossing) total_default() (msinvar.quivers.Quiver method) (msinvar.wall_crossing.WallCrossingStructure method)

Transform (class in msinvar.invariants) transform_g() (in module msinvar.flow_trees) translation_PQ() (msinvar.potential_quiver_invar.QuiverExample1 method) (msinvar.quivers.CyclicQuiver method) (msinvar.quivers.Quiver method) translation_PQ_total() (in module msinvar.potential_quiver_invar) (msinvar.quivers.TranslationPQ method) TranslationPQ (class in msinvar.quivers) trivial() (msinvar.stability.Stability static method) twist() (msinvar.wall_crossing.WallCrossingStructure method) twist_product() (msinvar.wall_crossing.WallCrossingStructure method) twist_T() (msinvar.wall_crossing.WallCrossingStructure method) twist_TI() (msinvar.wall_crossing.WallCrossingStructure method) twisted_higgs_bundles_invariant() (in module msinvar.higgs_bundles)

U

UnorderedMultiPartitions_iterator() (in module msinvar.iterators)

untwist_product() (msinvar.wall_crossing.WallCrossingStructure method) upper_closure() (msinvar.posets.Poset method)

V

value() (msinvar.invariants.Invariant method) (msinvar.invariants.Transform method) variable_names() (msinvar.rings.SR1 method)

vec (class in msinvar.utils) vertex_num() (msinvar.quivers.Quiver method) vmax() (msinvar.utils.vec static method) vmin() (msinvar.utils.vec static method)

W

WallCrossingStructure (class in msinvar.wall_crossing) WCS (in module msinvar.wall_crossing)

weight() (msinvar.stability.Stability method) wt() (msinvar.brane_tilings.BTQuiver method)

Z

Z() (msinvar.curve_DT.Curve method) zero() (msinvar.utils.vec static method)

zero_tuple() (msinvar.tm_polynomials.TMPolynomialRing method) zeta() (msinvar.higgs_bundles.CurveAlgebra method) Zhat() (msinvar.curve_DT.Curve method)