89 citations · 241 across the 18 of their papers we have counts for
18 papers
Non-abelian Abel's theorems and quaternionic rotation
V. Golyshev, A. Mellit, V. Rubtsov +1
In order to compute with --adic sheaves or crystals on a line over a low-technology alternative to the traditional computation with the Hecke operators on the au…
Apéry extensions
Vasily Golyshev, Matt Kerr, Tokio Sasaki
The Apéry numbers of Fano varieties are asymptotic invariants of their quantum differential equations. In this paper, we initiate a program to exhibit these invariants as (mirror t…
Dimensional interpolation and the Selberg integral
V. Golyshev, D. van Straten, D. Zagier
We show that a version of dimensional interpolation for the Riemann--Roch--Hirzebruch formalism in the case of a grassmannian leads to an expression for the Euler characteristic of…
Gamma classes and quantum cohomology of Fano manifolds: Gamma conjectures
Sergey Galkin, Vasily Golyshev, Hiroshi Iritani
We propose Gamma Conjectures for Fano manifolds which can be thought of as a square root of the index theorem. Studying the exponential asymptotics of solutions to the quantum diff…
Mirror Symmetry and Fano Manifolds
Tom Coates, Alessio Corti, Sergey Galkin +2
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. We sketch a pro…
Equations D3 and spectral elliptic curves
Vasily Golyshev, Masha Vlasenko
We study modular determinantal differential equations of orders 2 and 3. We show that the expansion of the analytic solution of a non-degenerate modular equation of type D3 over th…