3 citations · 3 across the 3 of their papers we have counts for
4 papers · 1 filter
Genus-2 Gromov-Witten invariants for manifolds with semisimple quantum cohomology
Xiaobo Liu
In this paper, we give a simple formula for the generating function of genus-2 Gromov-Witten invariants for manifolds with semisimple quantum cohomology, and use this formula to pr…
Idempotents on the big phase space
Xiaobo Liu
In this paper we study vector fields on the big phase space of Gromov-Witten theory which are idempotents of the quantum product. Such vector fields can be used to simplify univers…
Relations Among Universal Equations For Gromov-Witten Invariants
Xiaobo Liu
In this paper, we study relations among known universal equations for Gromov-Witten invariants at genus 1 and 2.
Isoparametric submanifolds and a Chevalley-type restriction theorem
Ernst Heintze, Xiaobo Liu, Carlos Olmos
We define and study isoparametric submanifolds of general ambient spaces and of arbitrary codimension. In particular we study their behaviour with respect to Riemannian submersions…