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On computations of HurwitzHodge integrals
"... Abstract. We describe a method to compute HurwitzHodge integrals. ..."
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Cited by 6 (1 self)
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Abstract. We describe a method to compute HurwitzHodge integrals.
KP hierarchy for Hodge integrals
, 2008
"... Starting from the ELSV formula, we derive a number of new equations on the generating functions for Hodge integrals over the moduli space of complex curves. This gives a new simple and uniform treatment of certain known results on Hodge integrals like Witten’s conjecture, Virasoro constrains, Faber’ ..."
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Cited by 33 (1 self)
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Starting from the ELSV formula, we derive a number of new equations on the generating functions for Hodge integrals over the moduli space of complex curves. This gives a new simple and uniform treatment of certain known results on Hodge integrals like Witten’s conjecture, Virasoro constrains, Faber
Hodge integrals and invariants of the unknots
"... We prove the GopakumarMariñoVafa formula for special cubic Hodge integrals. The GMV formula arises from ChernSimons/string duality applied to the unknot in the three sphere. The GMV formula is a qanalog of the ELSV formula for linear Hodge integrals. We find a system of bilinear localization equ ..."
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Cited by 31 (4 self)
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We prove the GopakumarMariñoVafa formula for special cubic Hodge integrals. The GMV formula arises from ChernSimons/string duality applied to the unknot in the three sphere. The GMV formula is a qanalog of the ELSV formula for linear Hodge integrals. We find a system of bilinear localization
HODGE INTEGRALS AND INTEGRABLE HIERARCHIES
, 2003
"... Abstract. We show that the generating series of some Hodge integrals involving one or two partitions are τfunctions of the KP hierarchy or the 2Toda hierarchy respectively. We also formulate a conjecture on the connection between relative invariants and integrable hierarchies. The conjecture is ve ..."
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Cited by 4 (0 self)
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Abstract. We show that the generating series of some Hodge integrals involving one or two partitions are τfunctions of the KP hierarchy or the 2Toda hierarchy respectively. We also formulate a conjecture on the connection between relative invariants and integrable hierarchies. The conjecture
A CONJECTURE ON HODGE INTEGRALS
, 2003
"... We propose a conjectural formula expressing the generating series of some Hodge integrals in terms of representation theory of KacMoody algebras. Such generating series appear in calculations of GromovWitten invariants by localization techniques. It generalizes a formula conjectured by Mariño an ..."
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Cited by 20 (13 self)
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We propose a conjectural formula expressing the generating series of some Hodge integrals in terms of representation theory of KacMoody algebras. Such generating series appear in calculations of GromovWitten invariants by localization techniques. It generalizes a formula conjectured by Mariño
Hodge Integrals and Hurwitz . . .
, 2000
"... Ekedahl, Lando, Shapiro, and Vainshtein announced a remarkable formula ([ELSV]) expressing Hurwitz numbers (counting covers of P 1 with specified simple branch points, and specified branching over one other point) in terms of Hodge integrals. We give a proof of this formula using virtual localizat ..."
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Ekedahl, Lando, Shapiro, and Vainshtein announced a remarkable formula ([ELSV]) expressing Hurwitz numbers (counting covers of P 1 with specified simple branch points, and specified branching over one other point) in terms of Hodge integrals. We give a proof of this formula using virtual
Hodge integrals and GromovWitten theory
 Invent. Math
"... Let Mg,n be the nonsingular moduli stack of genus g, npointed, DeligneMumford stable curves. For each marking i, there is an associated cotangent line bundle Li → Mg,n with fiber T ∗ C,pi over the moduli point [C, p1,...,pn]. Let ψi = c1(Li) ∈ H ∗ (Mg,n, Q). The integrals of products of the ψ cla ..."
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Cited by 174 (25 self)
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Let Mg,n be the nonsingular moduli stack of genus g, npointed, DeligneMumford stable curves. For each marking i, there is an associated cotangent line bundle Li → Mg,n with fiber T ∗ C,pi over the moduli point [C, p1,...,pn]. Let ψi = c1(Li) ∈ H ∗ (Mg,n, Q). The integrals of products of the ψ
TT Hodge integrals and invariants of the unknot
, 2004
"... We prove the Gopakumar–Mariño–Vafa formula for special cubic Hodge integrals. The GMV formula arises from Chern–Simons/string duality applied to the unknot in the three sphere. The GMV formula is a q–analog of the ELSV formula for linear Hodge integrals. We find a system of bilinear localization equ ..."
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We prove the Gopakumar–Mariño–Vafa formula for special cubic Hodge integrals. The GMV formula arises from Chern–Simons/string duality applied to the unknot in the three sphere. The GMV formula is a q–analog of the ELSV formula for linear Hodge integrals. We find a system of bilinear localization
Hodge integrals and degenerate contributions
 Comm. Math. Phys
, 1999
"... 0.1. Let X be a nonsingular, projective, 3 dimensional complex algebraic variety. Let MgD,n(X, β) be the moduli space of stable maps from genus gD curves to X representing the homology class β ∈ H2(X, Z). The GromovWitten invariants of X are defined via tautological integrals ..."
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Cited by 50 (10 self)
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0.1. Let X be a nonsingular, projective, 3 dimensional complex algebraic variety. Let MgD,n(X, β) be the moduli space of stable maps from genus gD curves to X representing the homology class β ∈ H2(X, Z). The GromovWitten invariants of X are defined via tautological integrals
Results 1  10
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42,600