Results 41 to 50 of about 515 (73)
On the asymptotic enumerativity property for Fano manifolds
Forum of Mathematics, SigmaWe study the enumerativity of Gromov–Witten invariants where the domain curve is fixed in moduli and required to pass through the maximum possible number of points.
Roya Beheshti +5 more
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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
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Peterson-Lam-Shimozono’s theorem is an affine analogue of quantum Chevalley formula
Forum of Mathematics, SigmaWe give a new proof of an unpublished result of Dale Peterson, proved by Lam and Shimozono, which identifies explicitly the structure constants, with respect to the quantum Schubert basis, for the T-equivariant quantum cohomology $QH^{\bullet }_T(G/P)
Chi Hong Chow
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An introduction to the theory of Higher rank stable pairs and Virtual localization
, 2012 This article is an attempt to briefly introduce some of the results from arXiv:1011.6342 on development of a higher rank analog of the Pandharipande-Thomas theory of stable pairs on a Calabi-Yau threefold X. More precisely, we develop a moduli theory for
Sheshmani, Artan
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New cases of logarithmic equivalence of Welschinger and Gromov-Witten invariants
, 2006 We consider the product of two projective lines equipped with the complex conjugation transforming $(x,y)$ into $(\bar{y},\bar{x})$ and blown up in at most two real, or two complex conjugate, points.
Itenberg, Ilia +2 more
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Coordinate rings of regular nilpotent Hessenberg varieties in the open opposite schubert cell
Forum of Mathematics, SigmaDale Peterson has discovered a surprising result that the quantum cohomology ring of the flag variety $\operatorname {\mathrm {GL}}_n({\mathbb {C}})/B$ is isomorphic to the coordinate ring of the intersection of the Peterson variety ...
Tatsuya Horiguchi, Tomoaki Shirato
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The KSBA moduli space of stable log Calabi–Yau surfaces
Forum of Mathematics, PiWe prove that every irreducible component of the coarse Kollár-Shepherd-Barron and Alexeev (KSBA) moduli space of stable log Calabi–Yau surfaces admits a finite cover by a projective toric variety. This verifies a conjecture of Hacking–Keel–Yu. The proof
Valery Alexeev +2 more
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Open WDVV equations and Frobenius structures for toric Calabi-Yau 3-folds
Forum of Mathematics, SigmaLet X be a toric Calabi-Yau 3-fold and let $L\subset X$ be an Aganagic-Vafa outer brane. We prove two versions of open WDVV equations for the open Gromov-Witten theory of $(X,L)$ .
Song Yu, Zhengyu Zong
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Forum of Mathematics, Pi, 2019 We study the higher genus equivariant Gromov–Witten theory of the Hilbert scheme of $n$ points of $\mathbb{C}^{2}$. Since the equivariant quantum cohomology, computed by Okounkov and Pandharipande [Invent. Math.
RAHUL PANDHARIPANDE, HSIAN-HUA TSENG
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Quantum SU(2) faithfully detects mapping class groups modulo center
, 2002 The Jones-Witten theory gives rise to representations of the (extended) mapping class group of any closed surface Y indexed by a semi-simple Lie group G and a level k.
Andersen +9 more
core +2 more sources