21 citations · 77 across the 6 of their papers we have counts for
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Minimal models of quantum homotopy Lie algebras via the BV-formalism
Christopher Braun, James Maunder
Using the BV-formalism of mathematical physics an explicit construction for the minimal model of a quantum L-infinity-algebra is given as a formal super integral. The approach take…
Derived localisation of algebras and modules
Christopher Braun, Joseph Chuang, Andrey Lazarev
For any dg algebra , not necessarily commutative, and a subset in , the homology of , we construct its derived localisation together with a map $A\to L_S(A…
Unimodular homotopy algebras and Chern-Simons theory
Christopher Braun, Andrey Lazarev
Quantum Chern-Simons invariants of differentiable manifolds are analyzed from the point of view of homological algebra. Given a manifold M and a Lie (or, more generally, an L-infin…
Homotopy BV algebras in Poisson geometry
Christopher Braun, Andrey Lazarev
We define and study the degeneration property for BV-infinity algebras and show that it implies that the underlying L-infinity algebras are homotopy abelian. The proof is based on…
Involutive A-infinity algebras and dihedral cohomology
Christopher Braun
We define and study the cohomology theories associated to A-infinity algebras and cyclic A-infinity algebras equipped with an involution, generalising dihedral cohomology to the A-…