Perturbative Chern-Simons theory is globalized over the moduli space of flat connections in the BV formalism, yielding a cohomology class that defines a metric-independent 3-manifold invariant.
Master Equation and Perturbative Chern-Simons theory
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abstract
We extend the Chern-Simons perturbative invariant of Axelrod and Singer to non-acyclic connections. We construct a solution of the quantum master equation on the space of functions on the cohomology of the connection. We prove that this solution is well defined up to master homotopy. We discuss also invariants of links.
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2025 1verdicts
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Globalization of perturbative Chern-Simons theory on the moduli space of flat connections in the BV formalism
Perturbative Chern-Simons theory is globalized over the moduli space of flat connections in the BV formalism, yielding a cohomology class that defines a metric-independent 3-manifold invariant.