The Witten deformation for even dimensional conformally conic manifolds

TL;DR

This paper extends the Witten deformation technique to even-dimensional conformally conic manifolds using admissible Morse functions, broadening its applicability in geometric analysis.

Contribution

It introduces a generalization of the Witten deformation to a new class of manifolds and functions, expanding the theoretical framework.

Findings

Extended Witten deformation to conformally conic manifolds

Established properties of the deformation in the new setting

Potential applications in geometric analysis and topology

Abstract

The goal of this article is to generalise the Witten deformation to even dimensional conic manifolds and a class of functions called admissible Morse functions.