#### Vol. 302, No. 1, 2019

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Symplectic and odd orthogonal Pfaffian formulas for algebraic cobordism

### Thomas Hudson and Tomoo Matsumura

Vol. 302 (2019), No. 1, 97–118
##### Abstract

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 $K$-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.

##### Keywords
generalised Schubert calculus, algebraic cobordism, pfaffian, isotropic grassmannian
##### Mathematical Subject Classification 2010
Primary: 14M15, 55N22
Secondary: 05E05, 14C17