Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Hochs, Peter"'
Let $G$ be a connected, real semisimple Lie group. Let $K
Externí odkaz:
http://arxiv.org/abs/2407.16275
Autor:
Hochs, Peter, Yanes, Aquerman
In the setting of a proper, cocompact action by a locally compact, unimodular group $G$ on a Riemannian manifold, we construct equivariant spectral flow of paths of Dirac-type operators. This takes values in the $K$-theory of the group $C^*$-algebra
Externí odkaz:
http://arxiv.org/abs/2403.00575
Autor:
Hochs, Peter
We obtain an equivariant index theorem, or Lefschetz fixed-point formula, for isometries from complete Riemannian manifolds to themselves. The fixed-point set of such an isometry may be noncompact. We build on techniques developed by Roe. Key new ing
Externí odkaz:
http://arxiv.org/abs/2401.04544
Autor:
Hochs, Peter, Saratchandran, Hemanth
For proper group actions on smooth manifolds, with compact quotients, we define an equivariant version of the Ruelle dynamical $\zeta$-function for equivariant flows satisfying a nondegeneracy condition. The construction is guided by an equivariant g
Externí odkaz:
http://arxiv.org/abs/2303.00312
Autor:
Hochs, Peter, Saratchandran, Hemanth
We construct an equivariant version of Ray-Singer analytic torsion for proper, isometric actions by locally compact groups on Riemannian manifolds, with compact quotients. We obtain results on convergence, metric independence, vanishing for even-dime
Externí odkaz:
http://arxiv.org/abs/2205.04117
Autor:
Hochs, Peter, Wang, Hang
Publikováno v:
SIGMA 19 (2023), 023, 32 pages
We consider a complete Riemannian manifold, which consists of a compact interior and one or more $\varphi$-cusps: infinitely long ends of a type that includes cylindrical ends and hyperbolic cusps. Here $\varphi$ is a function of the radial coordinat
Externí odkaz:
http://arxiv.org/abs/2110.00390
Autor:
Hochs, Peter, Wang, Hang
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 warped product structure outside such a compact set, we express the e
Externí odkaz:
http://arxiv.org/abs/2110.00376
Consider a proper, isometric action by a unimodular locally compact group $G$ on a Riemannian manifold $M$ with boundary, such that $M/G$ is compact. Then an equivariant Dirac-type operator $D$ on $M$ under a suitable boundary condition has an equiva
Externí odkaz:
http://arxiv.org/abs/2006.08086
Recently, two of the authors of this paper constructed cyclic cocycles on Harish-Chandra's Schwartz algebra of linear reductive Lie groups that detect all information in the $K$-theory of the corresponding group $C^*$-algebra. The main result in this
Externí odkaz:
http://arxiv.org/abs/2005.06119
Autor:
Hochs, Peter, Wang, Hang
For a proper, cocompact action by a locally compact group of the form $H \times G$, with $H$ compact, we define an $H \times G$-equivariant index of $H$-transversally elliptic operators, which takes values in $KK_*(C^*H, C^*G)$. This simultaneously g
Externí odkaz:
http://arxiv.org/abs/2002.06818