A twisted ∂_f-Neumann problem and Toeplitz n-tuples from singularity theory

2015/05/17 by Hao Wen, Wen, Hao, Huijun Fan +1
Mathematics · #32C35 #32S05 #32W05 #53D45 #81T45 #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1505.04422

openalex publication_date 2015/05/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

A twisted ∂_f-Neumann problem associated to a singularity (\mathscrO_n,f) is established. By constructing the connection to the Koszul complex for toeplitz n-tuples (f₁,⋯,f_n) on Bergman spaces B⁰(D), we can solve this ∂_f-Neumann problem. Moreover, we can compute the cohomology of the L² holomorphic Koszul complex (B^*(D),∂ f\wedge) explicitly

Citations

• A Brief Survey of FJRW Theory

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