REVIEW 2 cited by
Permutation-equivariant quantum K-theory IX. Quantum Hirzebruch-Riemann-Roch in all genera
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
We introduce the most general to date version of the permutation-equivariant quantum K-theory, and express its total descendant potential in terms of cohomological Gromov-Witten invariants. This is the higher-genus analogue of adelic characterization from the paper [7] by Givental-Tonita, and is based on the application of Kawasaki's Riemann-Roch formula to moduli spaces of stable maps.
Forward citations
Cited by 2 Pith papers
-
Quantum K-theory levels in physics and math
Chern-Simons levels and Ruan-Zhang levels are identified as the same twisting of quantum K-theory, with Coulomb branch equations matching difference operator symbols and geometric windows matching mirror triviality.
-
Reconstruction of $g=1$ permutation equivariant quantum $K$-invariants
A reconstruction theorem expresses genus-one permutation-equivariant quantum K-invariants of any compact Kähler manifold in terms of genus-zero data and residues.
Discussion (0). Continue with ORCID to comment.