Heat kernel expansion on a generalized cone
J. S. Dowker
Source abstract
It is shown that the short-time expansion of the integrated heat kernel on a locally flat generalized cone C(N), as defined by Cheeger, consists of just the Weyl volume term and the constant term. This latter is explicitly evaluated when N is a lens space, Sd/Zm (for odd d), elliptic space Sd/Z2 (for all d), and any of the three-dimensional, homogeneous space forms S3/Γ. Agreement is found with the corresponding expansion on the orbifold version, T4/Z2, of the K3 surface, and, in fact, with all TD/Z2.
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