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Brane actions, Categorification of Gromov-Witten theory and Quantum K-theory

Published 12 May 2015 in math.AG, math.AT, math.CT, and math.KT | (1505.02964v2)

Abstract: Let X be a smooth projective variety. Using the idea of brane actions discovered by To\"en, we construct a lax associative action of the operad of stable curves of genus zero on the variety X seen as an object in correspondences in derived stacks. This action encodes the Gromov-Witten theory of X in purely geometrical terms and induces an action on the derived category Qcoh(X) which allows us to recover the Quantum K-theory of Givental-Lee.

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Authors (2)

  1. Etienne Mann 
  2. Marco Robalo 

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