Nicolas Perrin - Quantum K-theory of some homogeneous spaces

Nicolas Perrin (1) , Robert Binder (2) , Fanny Bastien (2)

1 TOSCA - TO Simulate and CAlibrate stochastic models
2 IF - Institut Fourier

Quantum K-theory is as quantum cohomology a generalisation of the classical coho-mology algebra of a variety X. In this talk I will explain the connection between the geometry of the moduli space of stable maps, in particular rational connectedness properties, and the computation of structure constants for X a rational homogeneous space. This is based on a joint work with A. Buch, P.-E. Chaput and L. Mihalcea.

Mots clés: moduli of curves; summer school 2011; Quantum K-theory; homogeneous spaces; Gromov-Witten theory

Mots clés: modules de courbes; grenoble; école d’été 2011; théorie de Gromov-Witten; eem2011

Domaines: Mathématiques [math]

Nicolas Perrin, Robert Binder, Fanny Bastien. Nicolas Perrin - Quantum K-theory of some homogeneous spaces: Summer School 2011 - Moduli of curves and Gromov-Witten theory. 2011. ⟨medihal-01320779⟩