Virtual pullbacks in $K$-theory

F. Qu

Virtual pullbacks in $K$-theory

Algebraic Geometry 2017-09-20 v2

Authors: F. Qu

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.

Keywords

donaldson-thomas invariants algebraic k-theory

Cite

@article{arxiv.1608.02524,
  title  = {Virtual pullbacks in $K$-theory},
  author = {F. Qu},
  journal= {arXiv preprint arXiv:1608.02524},
  year   = {2017}
}

Comments

25 pages, to appear in Ann. Inst. Fourier

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