Results 11  20
of
1,258,430
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 ..."
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 ..."
Abstract

Cited by 6 (0 self)
 Add to MetaCart
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
Localization Computations of GromovWitten Invariants
, 2007
"... Introduction GromovWitten invariants are enumerative invariants of stable maps. Their definition in the context of mirror symmetry in physics allowed new approaches to old problems — for instance, counting the number of plane rational curves of degree d through 3d − 1 points — and solved all at onc ..."
Abstract
 Add to MetaCart
Introduction GromovWitten invariants are enumerative invariants of stable maps. Their definition in the context of mirror symmetry in physics allowed new approaches to old problems — for instance, counting the number of plane rational curves of degree d through 3d − 1 points — and solved all
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 ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
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
doi:10.1093/imrn/rns225 Genus Zero BPS Invariants for Local P1
"... We study the equivariant version of the genus zero BPS invariants of the total space of a rank 2 bundle on P1 whose determinant is OP1(−2). We define the equivariant genus zero BPS invariants by the residue integrals on the moduli space of stable sheaves of dimension one as proposed by Katz [11]. We ..."
Abstract
 Add to MetaCart
]. We compute these invariants for low degrees by counting the torus fixed stable sheaves. The results agree with the prediction in local Gromov–Witten theory studied in [3]. 1
Gromov–Witten Invariants of Toric Fibrations
, 901
"... We prove a conjecture of Artur Elezi [4] in a generalized form suggested by Givental [5]. Namely, our main result relates genus0 Gromov–Witten invariants of a bundle space with such invariants of the base, provided that the fiber is a toric manifold. When the base is the point, a new proof of mirro ..."
Abstract

Cited by 8 (0 self)
 Add to MetaCart
We prove a conjecture of Artur Elezi [4] in a generalized form suggested by Givental [5]. Namely, our main result relates genus0 Gromov–Witten invariants of a bundle space with such invariants of the base, provided that the fiber is a toric manifold. When the base is the point, a new proof
Spin Hurwitz numbers and the Gromov–Witten
"... The classical Hurwitz numbers which count coverings of a complex curve have an analog when the curve is endowed with a theta characteristic. These “spin Hurwitz numbers, ” recently studied by Eskin, Okounkov and Pandharipande, are interesting in their own right. By the authors ’ previous work, they ..."
Abstract
 Add to MetaCart
, they are also related to the Gromov–Witten invariants of Kähler surfaces. We prove a recursive formula for spin Hurwitz numbers, which then gives the dimension zero GW invariants of Kähler surfaces with positive geometric genus. The proof uses a degeneration of spin curves, an invariant defined by the spectral
Results 11  20
of
1,258,430