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.
On the perturbation lemma, and deformations
6 Pith papers cite this work. Polarity classification is still indexing.
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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 6representative citing papers
Proves the BV pushforward is a quasi-isomorphism of BV complexes via homological perturbation lemma and gives a path integral formula for its quasi-inverse.
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.
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.
The authors prove the absence of non-zero trivalent tree-level scattering amplitudes in su(n) field theory toy models via homological perturbation theory and demonstrate non-trivial higher products in an enlarged field space.
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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.