5 papers
Learning Topological Features of -invariants
Brandon Robinson, Shimal Harichurn, Fabian Ruehle +3
Machine learning and data analysis techniques have recently emerged as powerful tools for identifying patterns and formulating conjectures in mathematical research, most notably in…
Generalized Global Symmetries of Theories: Part II
Sergei Gukov, Po-Shen Hsin, Du Pei
We continue the investigation of symmetries and anomalies of theories obtained by compactifying 6d SCFTs on an internal manifold . We extend the notion of "polarizations…
A new approach to (3+1)-dimensional TQFTs via topological modular forms
Sergei Gukov, Vyacheslav Krushkal, Lennart Meier +1
In this paper, we present a construction toward a new type of TQFTs at the crossroads of low-dimensional topology, algebraic geometry, physics, and homotopy theory. It assigns TMF-…
Searching for ribbons with machine learning
Sergei Gukov, James Halverson, Ciprian Manolescu +1
We apply Bayesian optimization and reinforcement learning to a problem in topology: the question of when a knot bounds a ribbon disk. This question is relevant in an approach to di…
Branes and DAHA Representations
Sergei Gukov, Peter Koroteev, Satoshi Nawata +2
Using brane quantization, we study the representation theory of the spherical double affine Hecke algebra of type in terms of the topological A-model on the moduli space of f…