Symplectic and odd orthogonal Pfaffian formulas for algebraic cobordism

TL;DR

This paper generalizes Pfaffian formulas for degeneracy loci classes within algebraic cobordism, specifically for symplectic and odd orthogonal Grassmann bundles, advancing the understanding of their geometric and algebraic structures.

Contribution

It introduces new Pfaffian formulas for degeneracy loci classes in algebraic cobordism for symplectic and odd orthogonal Grassmann bundles.

Findings

Derived generalized Pfaffian formulas for degeneracy loci

Extended algebraic cobordism techniques to new bundle types

Enhanced computational tools for algebraic geometry

Abstract

In this paper we provide generalisations of Pfaffian formulas for the degeneracy loci classes in the algebraic cobordism of symplectic/odd orthogonal Grassmann bundles.