Results 11 to 20 of about 288 (46)
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
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
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
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
The Local Gromov-Witten invariants of configurations of rational curves [PDF]
, 2005 We compute the local Gromov‐Witten invariants of certain configurations of rational curves in a Calabi‐Yau threefold. These configurations are connected subcurves of the “minimal trivalent configuration”, which is a particular tree of P 1 ’s with ...
Dagan Karp +2 more
semanticscholar +1 more source
The genus 0 Gromov–Witten invariants of projective complete intersections [PDF]
, 2011 We describe the structure of mirror formulas for genus 0 Gromov‐Witten invariants of projective complete intersections with any number of marked points and provide an explicit algorithm for obtaining the relevant structure coefficients. As an application,
A. Zinger
semanticscholar +1 more source
A mirror theorem for the mirror quintic [PDF]
, 2012 The celebrated Mirror theorem states that the genus zero part of the A model (quantum cohomology, rational curves counting) of the Fermat quintic threefold is equivalent to the B model (complex deformation, variation of Hodge structure) of its mirror ...
Yuan-Pin Lee, Mark Shoemaker
semanticscholar +1 more source
Gromov K-area and jumping curves in CP^n [PDF]
, 2010 We give here some extensions of Gromov’s and Polterovich’s theorems on k ‐area of CP n , particularly in the symplectic and Hamiltonian context. Our main methods involve Gromov‐Witten theory, and some connections with Bott periodicity and the theory of ...
Y. Savelyev
semanticscholar +1 more source
Genus one enumerative invariants in del-Pezzo surfaces with a fixed complex structure [PDF]
, 2016 We obtain a formula for the number of genus one curves with a fixed complex structure of a given degree on a del-Pezzo surface that pass through an appropriate number of generic points of the surface.
Biswas, Indranil +2 more
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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
doaj +1 more source