8 papers
Quantitative partitioned index theorem and noncompact band-width
Peter Hochs, Jinmin Wang
Gromov's band-width conjecture gives a precise upper bound for the width of a compact Riemannian band with positive scalar curvature lower bound, assuming that the cross-section of…
A partitioned manifold index theorem for noncompact hypersurfaces
Peter Hochs, Thijs de Kok
Roe's partitioned manifold index theorem applies when a complete Riemannian manifold is cut into two pieces along a compact hypersurface . It states that a version of the in…
The Equivariant Fried Conjecture for Suspension Flow of an Equivariant Isometry
Peter Hochs, Christopher Pirie
The Fried conjecture states that the Ruelle dynamical -function of a flow on a compact maniofold has a well-defined value at , whose absolute value equals the Ray-Singer ana…
A higher index and rapidly decaying kernels
Hao Guo, Peter Hochs, Hang Wang
We construct an index of first-order, self-adjoint, elliptic differential operators in the -theory of a Fréchet algebra of smooth kernels with faster than exponential off-diago…
A higher index on finite-volume locally symmetric spaces
Hao Guo, Peter Hochs, Hang Wang
Let be a connected, real semisimple Lie group. Let be maximal compact, and let be discrete and such that has finite volume. If the real rank of $…
An equivariant Guillemin trace formula
Peter Hochs, Hemanth Saratchandran
Guillemin's trace formula is an expression for the distributional trace of an operator defined by pulling back functions along a flow on a compact manifold. We obtain an equivarian…