Pfaffian formula for $K$-theory of odd orthogonal Grassmannians
Thomas Hudson, Takeshi Ikeda, Tomoo Matsumura, Hiroshi Naruse
TL;DR
This paper establishes a Pfaffian formula for computing the $K$-theory classes of degeneracy loci in odd orthogonal Grassmannians, advancing algebraic geometry methods for these spaces.
Contribution
It introduces a new Pfaffian formula specifically for the $K$-theory of odd orthogonal Grassmannians, filling a gap in geometric and algebraic understanding.
Findings
Pfaffian formula for $K$-theory classes derived
Applicable to degeneracy loci in odd orthogonal Grassmannians
Enhances computational tools in algebraic geometry
Abstract
We prove a Pfaffain formula for the -theory class of the degeneracy loci in the bundle of odd maximal orthogonal Grassmannians.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Advanced Combinatorial Mathematics · Algebraic structures and combinatorial models