2025/03/03 by Gorapada Bera, Bera, Gorapada, Thomas Walpuski +1 · 2 citations
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic and Geometric Analysis
paper · pdf · doi:10.48550/arxiv.2503.01392
This article is concerned with the analysis of Dirac operators D twisted by ramified Euclidean line bundles (Z,\mathfrakl)-motivated by their relation with harmonic Z/2Z spinors, which have appeared in various context in gauge theory and calibrated geometry. The closed extensions of D are described in terms of the Gelfand-Robbin quotient \checkH. Assuming that the branching locus Z is a closed cooriented codimension two submanifold, a geometric realisation of \checkH is constructed. This, in turn, leads to an L2 regularity theory.