5 papers · 1 filter
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 anal…
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…
A geometric formula for multiplicities of -types of tempered representations
Peter Hochs, Yanli Song, Shilin Yu
Let be a connected, linear, real reductive Lie group with compact centre. Let be compact. Under a condition on , which holds in particular if is maximal compact, w…