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2,551
ON GROMOVWITTEN THEORY OF ROOT GERBES
, 2008
"... This research announcement discusses our results on GromovWitten theory of root gerbes. A complete calculation of genus 0 GromovWitten theory of µrroot gerbes over a smooth base scheme is obtained by a direct analysis of virtual fundamental classes. Our result verifies the genus 0 part of the so ..."
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This research announcement discusses our results on GromovWitten theory of root gerbes. A complete calculation of genus 0 GromovWitten theory of µrroot gerbes over a smooth base scheme is obtained by a direct analysis of virtual fundamental classes. Our result verifies the genus 0 part
GromovWitten theory of Anresolutions
, 2008
"... We give a complete solution for the reduced GromovWitten theory of resolved surface singularities of type An, for any genus, with arbitrary descendent insertions. We also present a partial evaluation of the Tequivariant relative GromovWitten theory of the threefold An × P 1 which, under a nondege ..."
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Cited by 6 (0 self)
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We give a complete solution for the reduced GromovWitten theory of resolved surface singularities of type An, for any genus, with arbitrary descendent insertions. We also present a partial evaluation of the Tequivariant relative GromovWitten theory of the threefold An × P 1 which, under a
Three questions in GromovWitten theory
 Proceedings of the ICM (Beijing 2002), Vol II
"... Three conjectural directions in GromovWitten theory are discussed: Gorenstein properties, BPS states, and Virasoro constraints. Each points to basic structures in the subject which are not yet understood. ..."
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Cited by 51 (13 self)
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Three conjectural directions in GromovWitten theory are discussed: Gorenstein properties, BPS states, and Virasoro constraints. Each points to basic structures in the subject which are not yet understood.
GROMOVWITTEN THEORY OF PRODUCT STACKS
, 2009
"... Let X1 and X2 be smooth proper DeligneMumford stacks with projective coarse moduli spaces. We prove a formula for orbifold GromovWitten invariants of the product stack X1 × X2 in terms of GromovWitten invariants of the factors X1 and X2. As an application, we deduce a decomposition result for Gro ..."
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 38 (9 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
Orientability in real GromovWitten theory
"... The orientability problem in real GromovWitten theory is one of the fundamental hurdles to enumerating real curves. In this paper, we describe topological conditions on the target manifold which ensure that the uncompactified moduli spaces of real maps are orientable for all genera of and for all t ..."
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Cited by 1 (0 self)
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The orientability problem in real GromovWitten theory is one of the fundamental hurdles to enumerating real curves. In this paper, we describe topological conditions on the target manifold which ensure that the uncompactified moduli spaces of real maps are orientable for all genera of and for all
On Virasoro Constraints for Orbifold GromovWitten Theory
"... Abstract. Virasoro constraints for orbifold GromovWitten theory are described. These constraints are applied to the degree zreo, genus zero orbifold GromovWitten potentials ..."
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Cited by 4 (2 self)
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Abstract. Virasoro constraints for orbifold GromovWitten theory are described. These constraints are applied to the degree zreo, genus zero orbifold GromovWitten potentials
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 classes
The Toda equations and the GromovWitten theory of the Riemann sphere
 Lett. Math. Phys
"... 0.1. Toda equations. The GromovWitten theory of P1 has been intensively studied in a sequence of remarkable papers by Eguchi, Hori, Xiong, Yamada, and Yang [EHY], [EY], [EYY], [EHX]. A major step in this analysis was the discovery of a (conjectural) matrix model for ..."
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Cited by 38 (2 self)
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0.1. Toda equations. The GromovWitten theory of P1 has been intensively studied in a sequence of remarkable papers by Eguchi, Hori, Xiong, Yamada, and Yang [EHY], [EY], [EYY], [EHX]. A major step in this analysis was the discovery of a (conjectural) matrix model for
Results 1  10
of
2,551