12 citations · 23 across the 5 of their papers we have counts for
4 papers · 1 filter
Two field-theoretic viewpoints on the Fukaya-Morse category
Olga Chekeres, Andrey Losev, Pavel Mnev +1
We study an enhanced version of the Morse degeneration of Fukaya category with higher compositions given by counts of gradient flow trees. The enhancement consists in al…
Theory of holomorphic maps of two-dimensional complex manifolds to toric manifolds and type A multi-string theory
Olga Chekeres, Andrey S. Losev, Pavel Mnev +1
We study the field theory localizing to holomorphic maps from a complex manifold of complex dimension 2 to a toric target (a generalization of A model). Fields are realized as maps…
Quantum Wilson surfaces and topological interactions
Olga Chekeres
We introduce the description of a Wilson surface as a 2-dimensional topological quantum field theory with a 1-dimensional Hilbert space. On a closed surface, the Wilson surface the…
Wilson surface observables from equivariant cohomology
Anton Alekseev, Olga Chekeres, Pavel Mnev
Wilson lines in gauge theories admit several path integral descriptions. The first one (due to Alekseev-Faddeev-Shatashvili) uses path integrals over coadjoint orbits. The second o…