21 citations · 51 across the 9 of their papers we have counts for
9 papers
BRST-Invariant Deformations of Geometric Structures in Topological Field Theories
A. A. Bytsenko, M. Chaichian, A. Tureanu +1
We study a Lie algebra of formal vector fields with its application to the perturbative deformed holomorphic symplectic structure in the A-model, and a Calabi-Yau manifold wi…
Localization of Equivariant Cohomology for Compact and Non-compact Group Actions
A. A. Bytsenko, M. Libine, F. L. Williams
We give a brief introduction to the Berline-Vergne localization formula for the finite-dimensional setting and indicate how the Duistermaat-Heckman formula is derived from it. We c…
Localization of Equivariant Cohomology - Introductory and Expository Remarks
A. A. Bytsenko, F. L. Williams
We present a brief introduction to the Berline-Vergne localization formula which expresses the integral of an equivariant cohomology class as a sum over zeros of a vector field to…
Chern-Simons Invariants of Closed Hyperbolic 3-Manifolds
A. A. Bytsenko, A. E. Goncalves, F. L. Williams
The Chern-Simons invariants of irreducible U(n)- flat connections on compact hyperbolic 3-manifolds of the form Γ\H^3 are derived. The explicit formula for the Chern-Simons functio…
Anomalies and Analytic Torsion on Hyperbolic Manifolds
A. A. Bytsenko, A. E. Goncalves, M. Simoes +1
The global additive and multiplicative properties of the Laplacian on j-forms and related zeta functions are analyzed. The explicit form of zeta functions on a product of closed or…
Asymptotics of the Heat Kernel on Rank 1 Locally Symmetric Spaces
A. A. Bytsenko, F. L. Williams
We consider the heat kernel (and the zeta function) associated with Laplace type operators acting on a general irreducible rank 1 locally symmetric space X. The set of Minakshisund…