Results 11 to 20 of about 179 (53)

Decompositions of moduli spaces of vector bundles and graph potentials

Forum of Mathematics, Sigma, 2023
We propose a conjectural semiorthogonal decomposition for the derived category of the moduli space of stable rank 2 bundles with fixed determinant of odd degree, independently formulated by Narasimhan. We discuss some evidence for and furthermore propose
Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay   +2 more
doaj   +1 more source

Tropical Lagrangian hypersurfaces are unobstructed

Journal of Topology, Volume 13, Issue 4, Page 1409-1454, December 2020., 2020
Abstract We produce for each tropical hypersurface V(ϕ)⊂Q=Rn a Lagrangian L(ϕ)⊂(C∗)n whose moment map projection is a tropical amoeba of V(ϕ). When these Lagrangians are admissible in the Fukaya–Seidel category, we show that they are unobstructed objects of the Fukaya category, and mirror to sheaves supported on complex hypersurfaces in a toric mirror.
Jeffrey Hicks
wiley   +1 more source

A Hypergeometric Version of the Modularity of Rigid Calabi-Yau Manifolds [PDF]

, 2018
We examine instances of modularity of (rigid) Calabi-Yau manifolds whose periods are expressed in terms of hypergeometric functions. The $p$-th coefficients $a(p)$ of the corresponding modular form can be often read off, at least conjecturally, from the ...
Zudilin, Wadim
core   +4 more sources

Orbifold Zeta Functions for Dual Invertible Polynomials [PDF]

, 2016
An invertible polynomial in n variables is a quasi-homogeneous polynomial consisting of n monomials so that the weights of the variables and the quasi-degree are well defined.
Ebeling, W., Gusein-Zade, S.M.
core   +2 more sources

Upper Bounds for Mutations of Potentials [PDF]

, 2013
In this note we provide a new, algebraic proof of the excessive Laurent phenomenon for mutations of potentials (in the sense of [Galkin S., Usnich A., Preprint IPMU 10-0100, 2010]) by introducing to this theory the analogue of the upper bounds from ...
Galkin, Sergey, Morales, John Alexander Cruz   +1 more
core   +4 more sources

Mirror symmetry and Fano manifolds [PDF]

, 2012
We consider mirror symmetry for Fano manifolds, and describe how one can recover the classification of 3-dimensional Fano manifolds from the study of their mirrors.
Coates, Tom, Corti, Alessio, Galkin, Sergey, Golyshev, Vasily, Kasprzyk, Alexander M.   +4 more
core   +2 more sources

Analytic continuation of better-behaved GKZ systems and Fourier-Mukai transforms [PDF]

Épijournal de Géométrie Algébrique
We study the relationship between solutions to better-behaved GKZ hypergeometric systems near different large radius limit points, and their geometric counterparts given by the $K$-groups of the associated toric Deligne-Mumford stacks. We prove that the $
Zengrui Han
doaj   +1 more source

Saito duality between Burnside rings for invertible polynomials

, 2011
We give an equivariant version of the Saito duality which can be regarded as a Fourier transformation on Burnside rings. We show that (appropriately defined) reduced equivariant monodromy zeta functions of Berglund-H\"ubsch dual invertible polynomials ...
Ebeling, Wolfgang, Gusein-Zade, Sabir M.
core   +1 more source

Polynomial Rings and Topological Strings

, 2014
An overview is given of the construction of a differential polynomial ring of functions on the moduli space of Calabi-Yau threefolds. These rings coincide with the rings of quasi modular forms for geometries with duality groups for which these are known.
Alim, Murad
core   +1 more source

A mirror theorem for Gromov-Witten theory without convexity

Forum of Mathematics, Sigma
We 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
doaj   +1 more source