2025/07/13 by Cheung, Elliot
#16E45 #17B55 (Primary) #58A50 (Secondary) #FOS: Mathematics #Quantum Algebra (math.QA)
paper · doi:10.48550/arxiv.2507.09438
We introduce the concept of a quantum BV L∞-algebra and study fundamental properties. In particular, we investigate homotopy Lie theoretic structures that naturally arise in the context of Chern-Simons theory. Of note, are the notions of homotopy BV data and of a BV orientation. The sequel of this paper will involve the direct application of these constructions to the setting of Chern-Simons theory.