170 citations · 1.2k across the 45 of their papers we have counts for
45 papers
Partition functions for supersymmetric gauge theories on spheres
A. A. Bytsenko, M. Chaichian, A. E. Gonçalves
In this paper we briefly review the main idea of the localization technique and its extension suitable in supersymmetric gauge field theory. We analyze the partition function of th…
Hilbert schemes, Verma modules and spectral functions of hyperbolic geometry with application to quantum invariants
A. A. Bytsenko, M. Chaichian, A. E. Gonçalves
In this article we exploit Ruelle-type spectral functions and analyze the Verma module over Virasoro algebra, boson-fermion correspondence, the analytic torsion, the Chern-Simons a…
The Duistermaat-Heckman formula with application to circle actions and Poincaré -polynomials in twisted equivariant K-theory
A. A. Bytsenko, M. Chaichian, A. E. Gonçalves
In this paper we deduce the sketch of proof of the Duistermaat-Heckman formula and investigate how the known Duistermaat-Heckman result could be specialized to the symplectic struc…
Elliptic Genera and q-Series Development in Analysis, String Theory, and N=2 Superconformal Field Theory
L. Bonora, A. A. Bytsenko, M. Chaichian +1
In this article we examine the Ruelle type spectral functions $\cR(s)$,which define an overall description of the content of the work. We investigate the Gopakumar-Vafa reformulati…
Vector Generation Functions, q-Spectral Functions of Hyperbolic Geometry and Vertex Operators for Quantum Affine Algebras
A. A. Bytsenko, M. Chaichian, R. Luna
We investigate the concept of -replicated arguments in symmetric functions with its connection to spectral functions of hyperbolic geometry. This construction suffices for vecto…
-Functions, Spectral Functions of Hyperbolic Geometry, and Vertex Operators with Applications to Structure for Weyl and Orthogonal Group Invariants
A. A. Bytsenko, M. Chaichian
In this paper we analyze the quantum homological invariants (the Poincaré polynomials of the link homology). In the case when the dimensions of homologies of appr…