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.
arXiv preprint math/0403266 (2004)
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abstract
We have one more look at the (homological) perturbation lemma and we point out some non-standard consequences, including the relevance to deformations.
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UNVERDICTED 4representative citing papers
Fat Lie theory defines fat extensions and abstract 2-term ruths with one-to-one correspondences to general linear PB-groupoids and core-transitive double groupoids, upgrading prior equivalences to category equivalences.
An algorithm based on homotopy transfer in L∞ algebras produces gauge-invariant fields for massive Kaluza-Klein modes that remain covariant under unbroken zero-mode gauge transformations.
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citing papers explorer
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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.
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Fat Lie Theory
Fat Lie theory defines fat extensions and abstract 2-term ruths with one-to-one correspondences to general linear PB-groupoids and core-transitive double groupoids, upgrading prior equivalences to category equivalences.
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Homotopy transfer for massive Kaluza-Klein modes
An algorithm based on homotopy transfer in L∞ algebras produces gauge-invariant fields for massive Kaluza-Klein modes that remain covariant under unbroken zero-mode gauge transformations.
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Minimal resolutions of toric substacks by line bundles
Minimal resolutions of toric substack structure sheaves are built as deformation retracts of cellular resolutions with explicit combinatorial differentials via the homological perturbation lemma and Moore-Penrose inverses.