A locally-built, LLM-digested index of recent arXiv papers in quant finance, geometry/topology, and statistical ML — keyword search served straight from SQLite on this machine.
Absolute index theorem for warped product manifolds.
We generalise the Atiyah-Segal-Singer fixed point theorem to noncompact manifolds. Using -theory, we extend the equivariant index to the noncompact setting, and obtain a fixed point formula for it. The fixed point formula is the explicit cohomological expression from Atiyah-Segal-Singer's result. In the noncompact …
The main result in this paper is a fixed point formula for equivariant indices of elliptic differential operators, for proper actions by connected semisimple Lie groups on possibly noncompact manifolds, with compact quotients. For compact groups and manifolds, this reduces to the Atiyah-Segal-Singer fixed point formula…
Geometric formula derived for Lefschetz pairing on Γ-proper manifolds.
Let be a (generalized) Dirac operator on a non-compact complete Riemannian manifold acted on by a compact Lie group . Let be an equivariant map, such that the corresponding vector field on does not vanish outside of a compact subset. These data define an element of -theory of the tran…