Introduces a new geometric framework for non-perturbative BV-theory.
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5 results for “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…
Integral currents with boundary of finite mass are integral.
problem Integral currents with boundary of finite mass are integral.
method De Giorgi's structure theorem for integer-valued functions and a cylindrical projection argument.
result Integral currents with boundary of finite mass are integral.
Geometrically deforms algebras to Lie algebroids, revealing new invariants.
problem Classifying geometric invariants of algebras arising from vector bundles.
method Define geometric deformations of curved algebras and show they correspond to Lie algebroid structures.
result Geometric deformations of 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.