Zhizhang Xie

activity

20102026

most citedOn the range of the relative higher index and the higher rho-invariant for positive scalar curvature

19 citations · 111 across the 40 of their papers we have counts for

collaborators

Showing math.ATShow all

3 papers · 1 filter

math.AT2024

Equivalence of different definitions of higher $ρ$ invariants

Hongzhi Liu, Zhizhang Xie, Guoliang Yu

For each orientation-preserving homotopy equivalence between two closed oriented smooth manifolds, there are mainly two different approaches to the higher $ρ$ invariant associated…

math.AT2017

Fibrations and higher products in cohomology

Alexander Gorokhovsky, Zhizhang Xie

This paper is a continuation of a previous paper joint with Dennis Sullivan (arXiv:1704.04308). Working in the context of commutative differential graded algebras, we study the ide…

math.AT2017★ 1 cited

Generalized Euler classes, differential forms and commutative DGAs

Alexander Gorokhovsky, Dennis Sullivan, Zhizhang Xie

In the context of commutative differential graded algebras over $Q$ , we show that an iteration of "odd spherical fibration" creates a "total space" commutative differential…

Equivalence of different definitions of higher ρ invariants

Fibrations and higher products in cohomology

Generalized Euler classes, differential forms and commutative DGAs

Equivalence of different definitions of higher $ρ$ invariants