89 citations · 100 across the 6 of their papers we have counts for
9 papers
Quantum Periods from TBA and Continued Fractions
Alexander Chervov, Ilia Gaiur, Sergey Galkin +3
We consider quantum A-periods of local , or equivalently the generating function of constant terms for powers of the Laurent polynomial $x + x^{…
Can one hear the shape of a lattice random walk?
Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay
We construct distinct high-dimensional mean-zero finite range lattice random walks having pairwise-equal return probabilities for all step counts. The same examples provide pairwis…
CayleyPy-4: AI-Holography. Towards analogs of holographic string dualities for AI tasks
A. Chervov, F. Levkovich-Maslyuk, A. Smolensky +41
This is the fourth paper in the CayleyPy project, which applies AI methods to the exploration of large graphs. In this work, we suggest the existence of a new discrete version of h…
Graph potentials and symplectic geometry of moduli spaces of vector bundles
Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay
We give the first examples of Fano manifolds with multiple optimal tori, i.e.~we construct monotone Lagrangian tori , such that the weighted number of holomorphic Maslov index t…
Graph potentials and topological quantum field theories
Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay
We introduce graph potentials, which are Laurent polynomials associated to (colored) trivalent graphs. We show that the birational type of the graph potential only depends on the h…
Singular symplectic spaces and holomorphic membranes
Sergey Galkin, Grigory Mikhalkin
We set up a topological framework for degenerations of symplectic manifolds into singular spaces paying a special attention to the behavior of Lagrangian manifolds and their (holom…
Decompositions of moduli spaces of vector bundles and graph potentials
Pieter Belmans, Sergey Galkin, Swarnava Mukhopadhyay
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 form…
Projective bundles and blow-ups of Projective spaces
Sergey Galkin, D. S. Nagaraj
The aim of this note is to investigate the relation between two types of non-singular projective varieties of Picard rank 2, namely the Projective bundles over Projective spaces an…
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…