Characteristic classes of symmetric and skew-symmetric degeneracy loci
Sutipoj Promtapan, Richard Rimanyi
TL;DR
This paper presents formulas for characteristic classes of symmetric and skew-symmetric degeneracy loci, with applications in enumerative geometry, algebraic combinatorics, and K-theory generalizations.
Contribution
It introduces two new formulas for Chern-Schwartz-MacPherson classes of these loci, advancing understanding in algebraic geometry and related fields.
Findings
Formulas for Chern-Schwartz-MacPherson classes of degeneracy loci
Applications in enumerative geometry and algebraic combinatorics
Discussion of K-theory generalizations
Abstract
We give two formulas for the Chern-Schwartz-MacPherson class of symmetric and skew-symmetric degeneracy loci. We apply them in enumerative geometry, explore their algebraic combinatorics, and discuss K theory generalizations.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Combinatorial Mathematics