Heat trace asymptotics for wedge-like singularity

Abstract

In this note we consider a heat trace expansion on a manifold with wedge-like singularity. We show that there are two terms in the expansion that contain information about the presence of the singularity, namely the logarithmic term $c{t}^{-1/2}\log t$ and the half power term $b{t}^{-1/2}$. We also give a geometric expression for $c$.

7 pages. Comments are welcome!