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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

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math.OA2021

-theory of relative group -algebras and the relative Novikov conjecture

Jintao Deng, Geng Tian, Zhizhang Xie +1

The relative Novikov conjecture states that the relative higher signatures of manifolds with boundary are invariant under orientation-preserving homotopy equivalences of pairs. In…

math.OA2013★ 4 cited

Higher rho invariants and the moduli space of positive scalar curvature metrics

Zhizhang Xie, Guoliang Yu

Given a closed smooth manifold M which carries a positive scalar curvature metric, one can associate an abelian group P(M) to the space of positive scalar curvature metrics on this…

math.OA2010

The Odd Dimensional Analogue of a Theorem of Getzler and Wu

Zhizhang Xie

We prove an analogue for odd dimensional manifolds with boundary, in the -calculus setting, of the higher Atiyah-Patodi-Singer index theorem by Getzler and Wu, thus obtain a nat…