Heat kernel expansion on a generalized cone
- 1 April 1989
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 30 (4) , 770-773
- https://doi.org/10.1063/1.528395
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.Keywords
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