Results 1 to 10 of about 287 (57)
Multiple quantum products in toric varieties
International Journal of Mathematics and Mathematical Sciences, Volume 31, Issue 11, Page 675-686, 2002., 2001 We generalize the author's formula for Gromov-Witten invariants of symplectic toric manifolds (see math.AG/0006156) to those needed to compute the quantum product of more than two classes directly, i.e.
Spielberg, Holger
core +6 more sources
F‐Manifolds and geometry of information
Bulletin of the London Mathematical Society, 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
exaly +2 more sources
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
doaj +1 more source
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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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
wiley +1 more source
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
wiley +1 more source
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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The Gromov width of complex Grassmannians [PDF]
, 2005 We show that the Gromov width of the Grassmannian of complex k-planes in C^n is equal to one when the symplectic form is normalized so that it generates the integral cohomology in degree 2. We deduce the lower bound from more general results. For example,
Biran +7 more
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Singular polynomials from orbit spaces [PDF]
, 2012 We consider the polynomial representation S(V*) of the rational Cherednik algebra H_c(W) associated to a finite Coxeter group W at constant parameter c.
Alexey Silantyev, Dubrovin, Misha Feigin
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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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