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arXiv 2017-09-10 0 views

Permutation-equivariant quantum K-theory IX. Quantum Hirzebruch-Riemann-Roch in all genera

Givental, Alexander

Original · EN

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.

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