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CANCELLED Chow-theoretic vs. K-theoretic Gromov-Witten invariants

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KAHW02 - Algebraic K-theory, motivic cohomology and motivic homotopy theory

Let X be a smooth projective complex variety.  We prove the comparison between the Gromov-Witten invariants of X with their K-theoretic variants defined by Givental and Lee.  The key ingredient is a virtual Grothendieck-Riemann-Roch formula on the moduli stack of stable maps, which is used to compare Kontsevich’s virtual fundamental class with the one constructed by Behrend-Fantechi.  




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