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On a proof of a conjecture of MarinoVafa on Hodge integrals
"... Abstract. We prove a remarkable formula for Hodge integrals conjectured by Mariño and Vafa [23] based on large N duality, using functorial virtual localization on certain moduli spaces of relative stable morphisms. 1. ..."
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Cited by 27 (8 self)
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Abstract. We prove a remarkable formula for Hodge integrals conjectured by Mariño and Vafa [23] based on large N duality, using functorial virtual localization on certain moduli spaces of relative stable morphisms. 1.
The local GromovWitten theory of curves
, 2008
"... We study the equivariant GromovWitten theory of a rank 2 vector bundle N over a nonsingular curve X of genus g: (i) We define a TQFT using the GromovWitten partition functions. The full theory is determined in the TQFT formalism from a few exact calculations. We use a reconstruction result proven ..."
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Cited by 12 (3 self)
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We study the equivariant GromovWitten theory of a rank 2 vector bundle N over a nonsingular curve X of genus g: (i) We define a TQFT using the GromovWitten partition functions. The full theory is determined in the TQFT formalism from a few exact calculations. We use a reconstruction result proven jointly with C. Faber and A. Okounkov in the appendix.
The local DonaldsonThomas theory of curves
, 2005
"... Dedicated to the memory of Raoul Bott The local DonaldsonThomas theory of curves is solved by localization and degeneration methods. The results complete a triangle of equivalences relating GromovWitten theory, DonaldsonThomas theory, and the quantum cohomology of the Hilbert scheme of points of ..."
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Cited by 1 (0 self)
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Dedicated to the memory of Raoul Bott The local DonaldsonThomas theory of curves is solved by localization and degeneration methods. The results complete a triangle of equivalences relating GromovWitten theory, DonaldsonThomas theory, and the quantum cohomology of the Hilbert scheme of points of