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A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.

168,742 papers · 148 categories

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1122 · Jul 202319922001200920172026
5 results for BV-theory

Introduces a new geometric framework for non-perturbative BV-theory.

problem Non-perturbative generalization of BV-theory in infinite-dimensional spaces.
method Derived differential geometry and homotopical algebraic geometry.
result Concrete model of derived smooth stacks for encoding non-perturbative BV-theory.

This is a survey of our program of perturbative quantization of gauge theories on manifolds with boundary compatible with cutting/pasting and with gauge symmetry treated by means of a cohomological resolution (Batalin-Vilkovisky) formalism. We also give two explicit quantum examples -- abelian BF theory and the Poisson…

2016-02-01abs ↗pdf ↗

Geometrically deforms LL_\infty algebras to Lie algebroids, revealing new invariants.

problem Classifying geometric invariants of LL_\infty algebras arising from vector bundles.
method Define geometric deformations of curved LL_\infty algebras and show they correspond to Lie algebroid structures.
result Geometric deformations of LL_\infty algebras classify new geometric invariants.

Develops BV function and finite perimeter set theory on Riemannian manifolds.

problem Theory of BV functions and finite perimeter sets on arbitrary Riemannian manifolds.
method Localization framework combining Euclidean and metric measure space techniques.
result Recovery of key Euclidean results in Riemannian setting.