2012/11/29 by Ryan Grady, Grady, Ryan
Mathematics · Physics and Astronomy · #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.1211.6816
openalex publication_date 2012/11/29 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In the present work, we extend our previous work with Gwilliam by realizing A(X) as the projective volume form associated to the BV operator in our quanitization of a one-dimensional sigma model. We also discuss the associated integration/expectation map. We work in the formalism of L_∞ spaces, objects of which are computationally convenient presentations for derived stacks. Both smooth and complex geometry embed into L_∞ spaces and we specialize our results in both of these cases.