Kempf-Laksov Schubert classes for even infinitesimal cohomology theories
Thomas Hudson, Tomoo Matsumura
TL;DR
This paper generalizes the Kempf-Laksov formula to compute degeneracy loci classes within even infinitesimal cohomology theories for Grassmannian and Lagrangian Grassmannian bundles, expanding algebraic geometry tools.
Contribution
It introduces a new generalized formula for degeneracy loci classes in even infinitesimal cohomology theories, extending classical results.
Findings
Derived a generalized Kempf-Laksov formula
Applied to Grassmannian and Lagrangian Grassmannian bundles
Enhanced computational methods in algebraic geometry
Abstract
In this paper, we prove a generalization of Kempf-Laksov formula for the degeneracy loci classes in even infinitesimal cohomology theories of the Grassmannian bundle and the Lagrangian Grassmannian bundle.
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