20 citations · 110 across the 31 of their papers we have counts for
11 papers · 1 filter
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…
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.
An equivariant Atiyah-Patodi-Singer index theorem for proper actions I: the index formula
Peter Hochs, Bai-Ling Wang, Hang Wang
Consider a proper, isometric action by a unimodular locally compact group on a Riemannian manifold with boundary, such that is compact. For an equivariant, elliptic o…
Twisted Donaldson invariants
Tsuyoshi Kato, Hirofumi Sasahira, Hang Wang
Fundamental group of a manifold gives a deep effect on its underlying smooth structure. In this paper we introduce a new variant of the Donaldson invariant in Yang-Mills gauge theo…