20 citations · 110 across the 31 of their papers we have counts for
6 papers · 1 filter
The K-homology of 2-dimensional Crystallographic Groups
Hang Wang, Xiufeng Yao
In this paper we compute the topological K-homology of 2-dimensional crystal groups. Our method focuses on the fixed point of group action and simplifies the calculation of the K-h…
Spectral Asymmetry and Index Theory on Manifolds with Generalised Hyperbolic Cusps
Peter Hochs, Hang Wang
We consider a complete Riemannian manifold, which consists of a compact interior and one or more -cusps: infinitely long ends of a type that includes cylindrical ends and hyperb…
An absolute version of the Gromov-Lawson relative index theorem
Peter Hochs, Hang Wang
A Dirac operator on a complete manifold is Fredholm if it is invertible outside a compact set. Assuming a compact group to act on all relevant structure, and the manifold to have a…
K-homology and K-theory of pure Braid groups
Sara Azzali, Sarah L. Browne, Maria Paula Gomez Aparicio +2
We produce an explicit description of the K-theory and K-homology of the pure braid group on strands. We describe the Baum--Connes correspondence between the generators of the…
Equivariant Spectral Flow and Equivariant -invariants on Manifolds With Boundary
Johnny Lim, Hang Wang
In this article, we study several closely related invariants associated to Dirac operators on odd-dimensional manifolds with boundary with an action of the compact group of iso…
Equivariant Toeplitz index theory on odd-dimensional manifolds with boundary
Johnny Lim, Hang Wang
In this paper, we establish an equivariant version of Dai-Zhang's Toeplitz index theorem for compact odd-dimensional spin manifolds with even-dimensional boundary.