Virtual pullbacks in $K$-theory

Abstract

We consider virtual pullbacks in $K$-theory, and show that they are bivariant classes and satisfy certain functoriality. As applications to $K$-theoretic counting invariants, we include proofs of a virtual localization formula for schemes and a degeneration formula in Donaldson-Thomas theory.

25 pages, to appear in Ann. Inst. Fourier

References in corpus (1)

• Lectures on K-theoretic computations in enumerative geometry

Cited by in corpus (2)

• On the $K$-theoretic Hall algebra of a surface
• Wall-Crossing in Genus Zero K-theoretic Landau-Ginzburg Theory