Results 1 to 10 of about 30 (30)
Quasimaps to GIT fibre bundles and applications
Forum of Mathematics, Sigma, 2021 In [4], Brown proved that the I-function of a toric fibration lies on the overruled Lagrangian cone of its $g=0$ Gromov–Witten theory, introduced by Coates and Givental [8]. In this paper, we prove the theorem for partial flag-variety fibrations.
Jeongseok Oh
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The local motivic DT/PT correspondence
Journal of the London Mathematical Society, Volume 104, Issue 3, Page 1384-1432, October 2021., 2021 Abstract We show that the Quot scheme QLn=QuotA3(IL,n) parameterising length n quotients of the ideal sheaf of a line in A3 is a global critical locus, and calculate the resulting motivic partition function (varying n), in the ring of relative motives over the configuration space of points in A3.
Ben Davison, Andrea T. Ricolfi
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Equivariant Brill–Noether theory for elliptic operators and superrigidity of J-holomorphic maps
Forum of Mathematics, Sigma, 2023 The space of Fredholm operators of fixed index is stratified by submanifolds according to the dimension of the kernel. Geometric considerations often lead to questions about the intersections of concrete families of elliptic operators with these ...
Aleksander Doan, Thomas Walpuski
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F‐Manifolds and geometry of information
Bulletin of the London Mathematical Society, Volume 52, Issue 5, Page 777-792, October 2020., 2020 Abstract The theory of F‐manifolds, and more generally, manifolds endowed with commutative and associative multiplication of their tangent fields, was discovered and formalised in various models of quantum field theory involving algebraic and analytic geometry, at least since the 1990s. The focus of this paper consists in the demonstration that various
Noémie Combe, Yuri I. Manin
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Proceedings of the London Mathematical Society, Volume 121, Issue 4, Page 954-1032, October 2020., 2020 Abstract I provide an explicit construction of spectral curves for the affine E8 relativistic Toda chain. Their closed‐form expression is obtained by determining the full set of character relations in the representation ring of E8 for the exterior algebra of the adjoint representation; this is in turn employed to provide an explicit construction of ...
Andrea Brini
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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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Multiple quantum products in toric varieties
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 11, Page 675-686, 2002., 2002 We generalize the author′s formula for Gromov‐Witten invariants of symplectic toric manifolds (1999) to those needed to compute the quantum product of more than two classes directly, that is, involving the pullback of the Poincaré dual of the point class in the Deligne‐Mumford spaces ℳ¯0,m.
Holger Spielberg
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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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A mirror theorem for Gromov-Witten theory without convexity
Forum of Mathematics, SigmaWe prove a genus zero Givental-style mirror theorem for all complete intersections in toric Deligne-Mumford stacks, which provides an explicit slice called big I-function on Givental’s Lagrangian cone for such targets.
Jun Wang
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Relative quantum cohomology of the Chiang Lagrangian
Forum of Mathematics, SigmaWe compute the open Gromov-Witten disk invariants and the relative quantum cohomology of the Chiang Lagrangian $L_\triangle \subset \mathbb {C}P^3$ .
Anna Hollands +4 more
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