3 citations · 3 across the 2 of their papers we have counts for
10 papers
Some remarks on Gopakumar-Vafa invariants
A. Schwarz, I. Shapiro
We show that Gopakumar-Vafa invariants can be expressed in terms of the cohomology ring of moduli space of D-branes without reference to the sl_2 \times sl_2 action. We also give a…
Algebraic structure of Yang-Mills theory
M. Movshev, A. Schwarz
In the present paper we analyze algebraic structures arising in Yang-Mills theory. The paper should be considered as a part of a project started with a paper "On maximally supersym…
Theta-functions on noncommutative tori
Albert Schwarz
Ordinary theta-functions can be considered as holomorphic sections of line bundles over tori. We show that one can define generalized theta-functions as holomorphic elements of pro…
Gauge theories on noncommutative spaces
Albert Schwarz
I review my results about noncommutative gauge theories and about the relation of these theories to M(atrix) theory following my lecture on ICMP 2000.
Topological quantum field theories
Albert Schwarz
Following my plenary lecture on ICMP2000 I review my results concerning two closely related topics: topological quantum field theories and the problem of quantization of gauge theo…
Noncommutative Algebraic Equations and Noncommutative Eigenvalue Problem
Albert Schwarz
We analyze the perturbation series for noncommutative eigenvalue problem where is an element of a noncommutative ring, is a matrix and is a column vector with…