Pith. sign in

Virtual pullbacks in $K$-theory

· 2016 · math.AG · arXiv 1608.02524

1 Pith paper cite this work. Polarity classification is still indexing.

1 Pith paper citing it
open full Pith review browse 1 citing papers arXiv PDF
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.

fields

math.AG 1

years

2026 1

verdicts

ACCEPT 1

representative citing papers

Virtual Jeffrey--Kirwan localisation

math.AG · 2026-07-06 · accept · novelty 7.0

Virtual integrals over GIT quotients X//G equal Jeffrey–Kirwan residues of virtual integrals over T-fixed loci, for perfect obstruction theories and oriented (−2)-shifted symplectic structures, in cohomology and K-theory.

citing papers explorer

Showing 1 of 1 citing paper.

  • Virtual Jeffrey--Kirwan localisation math.AG · 2026-07-06 · accept · none · ref 48 · internal anchor

    Virtual integrals over GIT quotients X//G equal Jeffrey–Kirwan residues of virtual integrals over T-fixed loci, for perfect obstruction theories and oriented (−2)-shifted symplectic structures, in cohomology and K-theory.