19 citations · 111 across the 40 of their papers we have counts for
4 papers · 1 filter
On the range of the relative higher index and the higher rho-invariant for positive scalar curvature
Zhizhang Xie, Guoliang Yu, Rudolf Zeidler
Let be a closed spin manifold which supports a positive scalar curvature metric. The set of concordance classes of positive scalar curvature metrics on forms an abelian gro…
C*-Algebraic Higher Signatures and an Invariance Theorem in Codimension Two
Nigel Higson, Thomas Schick, Zhizhang Xie
We revisit the construction of signature classes in C*-algebra K-theory, and develop a variation that allows us to prove equality of signature classes in some situations involving…
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…
Generalized Euler classes, differential forms and commutative DGAs
Alexander Gorokhovsky, Dennis Sullivan, Zhizhang Xie
In the context of commutative differential graded algebras over , we show that an iteration of "odd spherical fibration" creates a "total space" commutative differential…