On the topology of affine bow varieties

Adam Gyenge (Budapest University of Technology and Economics)

Wednesday 21st January 16:00-17:00
Maths 311B

Abstract

Cherkis bow varieties were introduced as an ADHM type description of moduli spaces of U(n)-instantons on the Taub-NUT space equivariant under a cyclic group Z/mZ-action. An algebro-geometric description using quivers was constructed by Nakajima-Takayama, who have also shown that they generalise Nakajima quiver varieties, in particular Hilbert schemes of points on the affine plane. We compute the equivariant K-theory of their torus fixed points and give formulas for the generating series of their Euler numbers/motives. These series generalise the results of Ellingsrud-Stromme-Göttsche. Joint work with Richárd Rimányi.

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