3 citations · 3 across the 3 of their papers we have counts for
6 papers
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.
Quantum product on the big phase space and the Virasoro conjecture
Xiaobo Liu
We first study the quantum product on the big phase space defined by gravitational Gromov-Witten invariants. We then use this product to give an interpretation for various topologi…
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…
Virasoro Constraints For Quantum Cohomology
Xiaobo Liu, Gang Tian
Eguchi-Hori-Xiong and S. Katz proposed a conjecture that the partition function of topological sigma model coupled to gravity is annihilated by infinitely many differential operato…