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Abstract
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In the Chow ring of symplectic/odd orthogonal Grassmann bundles the degeneracy loci classes
can be expressed as a sum of Schur–Pfaffians. An analogous Schur–Pfaffian formula was obtained
for
-theory
by the authors together with T. Ikeda and M. Naruse. Here we generalize this explicit
formula of degeneracy loci classes to algebraic cobordism, which is universal among
all oriented cohomology theories.
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Keywords
generalised Schubert calculus, algebraic cobordism,
pfaffian, isotropic grassmannian
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Mathematical Subject Classification 2010
Primary: 14M15, 55N22
Secondary: 05E05, 14C17
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Milestones
Received: 16 February 2018
Revised: 25 January 2019
Accepted: 11 February 2019
Published: 5 November 2019
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