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math-ph2021★ 2 cited
Quantization of topological-holomorphic field theories: local aspects
Owen Gwilliam, Eugene Rabinovich, Brian R. Williams
In both mathematics and physics, topological field theories and holomorphic field theories appear naturally, but there are interesting theories that are hybrids -- looking topologi…
math-ph2019★ 1 cited
The Batalin-Vilkovisky Formalism and the Determinant Line Bundle
Eugene Rabinovich
Given a smooth family of massless free fermions parametrized by a base manifold , we show that the (mathematically rigorous) Batalin-Vilkovisky quantization of the observables o…
math-ph2017★ 5 cited
A Mathematical Analysis of the Axial Anomaly
Eugene Rabinovich
As is well known to physicists, the axial anomaly of the massless free fermion in Euclidean signature is given by the index of the corresponding Dirac operator. We use the Batalin-…