2024/12/24 by Hao, Wen
#Algebraic Topology (math.AT) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Algebra (math.QA)
paper · doi:10.48550/arxiv.2412.18325
We describe the construction of Frobenius manifold out of a cyclic (commutative) BV_∞ algebra (A,Δ) under the assumption of a Hodge-to-de Rham degeneration property and the existence of a compatible homotopy retract of A onto its cohomology. We then apply it to Jacobi manifolds and Hermitian manifolds, generalizing known results in literature.