Year: 2025
Type: article
Abstract: We calculate the singular instanton homology with local coefficients for the simplest n-strand braids in S 1 S 2 for all odd n, describing these homology groups and their module structures in terms of the coordinate rings of explicit algebraic curves.The calculation is expected to be equivalent to computing the quantum cohomology ring of a certain Fano variety, namely a moduli space of stable parabolic bundles on a sphere with n marked points.57R58; 14H60 1. Introduction 1975 2. A version of singular instanton homology 1979 3. Torus braids in
Source: Geometry & Topology
Authors: Peter B Kronheimer, Tomasz S Mrowka
Institutions: Harvard University, Massachusetts Institute of Technology
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
OpenAlex ID: W4411849743