The Quantum Lefschetz Hyperplane Principle Can Fail for Positive Orbifold Hypersurfaces [PDF]
, 2012 We show that the Quantum Lefschetz Hyperplane Principle can fail for certain orbifold hypersurfaces and complete intersections.
Coates, Tom +5 more
core +2 more sources
The Betti numbers of the moduli space of stable sheaves of rank 3 on P2 [PDF]
, 2011 This article computes the generating functions of the Betti numbers of the moduli space of stable sheaves of rank 3 on the projective plane P2 and its blow-up. Wall-crossing is used to obtain the Betti numbers on the blow-up.
Manschot, Jan
core +1 more source
On solutions to Walcher's extended holomorphic anomaly equation [PDF]
, 2007 We give a generalization of Yamaguchi--Yau's result to Walcher's extended holomorphic anomaly equation.Comment: 19 pages, 3 figures, (v2) a reference ...
Konishi, Yukiko, Minabe, Satoshi
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Mirror symmetry for concavex vector bundles on projective spaces
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 3, Page 159-197, 2003., 2003 Let X ⊂ Y be smooth, projective manifolds. Assume that ι : X → ℙs is the zero locus of a generic section of V+ = ⊕i∈I𝒪(ki), where all the ki′s are positive. Assume furthermore that 𝒩X/Y = ι∗(V−), where V− = ⊕j∈J𝒪(−lj) and all the lj′s are negative. We show that under appropriate restrictions, the generalized Gromov‐Witten invariants of X inherited from
Artur Elezi
wiley +1 more source
Virasoro constraints for moduli spaces of sheaves on surfaces
Forum of Mathematics, Sigma, 2023 We introduce a conjecture on Virasoro constraints for the moduli space of stable sheaves on a smooth projective surface. These generalise the Virasoro constraints on the Hilbert scheme of a surface found by Moreira and Moreira, Oblomkov, Okounkov and ...
Dirk van Bree
doaj +1 more source
Semisimplicity of the quantum cohomology for smooth Fano toric varieties associated with facet symmetric polytopes [PDF]
, 2012 The degree zero part of the quantum cohomology algebra of a smooth Fano toric symplectic manifold is determined by the superpotential function, W, of its moment polytope. In particular, this algebra is semisimple, i.e.
Alexander Givental +20 more
core +1 more source
Quantum cohomology of moduli spaces of genus zero stable curves
, 2007 We investigate the (small) quantum cohomology ring of the moduli spaces of stable n-pointed curves of genus 0. In particular, we determine an explicit presentation in the case n=5 and we outline a computational approach to the case n=6.Comment: Reference
Fontanari, Claudio
core +5 more sources
From Hurwitz numbers to Kontsevich-Witten tau-function: a connection by Virasoro operators
, 2013 In this letter,we present our conjecture on the connection between the Kontsevich--Witten and the Hurwitz tau-functions. The conjectural formula connects these two tau-functions by means of the $GL(\infty)$ group element.
A. Alexandrov +35 more
core +1 more source
On the rigidity of stable maps to Calabi-Yau threefolds [PDF]
, 2006 If X is a nonsingular curve in a Calabi--Yau threefold Y whose normal bundle N_{X/Y} is a generic semistable bundle, are the local Gromov-Witten invariants of X well defined? For X of genus two or higher, the issues are subtle.
Bryan, Jim, Pandharipande, Rahul
core +2 more sources
DONALDSON–THOMAS INVARIANTS OF LOCAL ELLIPTIC SURFACES VIA THE TOPOLOGICAL VERTEX
Forum of Mathematics, Sigma, 2019 We compute the Donaldson–Thomas invariants of a local elliptic surface with section. We introduce a new computational technique which is a mixture of motivic and toric methods. This allows us to write the partition function for the invariants in terms of
JIM BRYAN, MARTIJN KOOL
doaj +1 more source