Yi Liu

activity

20172026

collaborators

Showing math.GTShow all

3 papers · 1 filter

math.GT2026

Barbell twists are natural

Yi Liu

For any oriented smooth $4$ --manifold $X$ diffeomorphic to $(S^{2} \times D^{2})^{♮ n}$ ( $n \geq 0$ ), the author establishes a natural isomorphism of abelian groups: $$\mathrm{Mod}…

math.GT2022

Virtual homological eigenvalues and the Weil--Petersson translation length

Yi Liu

For any pseudo-Anosov automorphism on an orientable closed surface, an inquality is established bounding certain growth of virtual homological eigenvalues with the Weil--Petersson…

math.GT2017

Volume of representations and mapping degree

Pierre Derbez, Yi Liu, Hongbin Sun +1

Given a connected real Lie group and a contractible homogeneous proper $G$ --space $X$ furnished with a $G$ --invariant volume form, a real valued volume can be assigned to any repre…