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Title: Harmonic forms on manifolds with edges
Authors: Hunsicker, Eugenie
Mazzeo, Rafe
Issue Date: 2005
Publisher: Oxford University Press / © Hindawi Publishing Corporation
Citation: HUNSICKER, E. and MAZZEO, R., 2005. Harmonic forms on manifolds with edges. International Mathematics Research Notices, 52, pp. 3229 - 3272
Abstract: Let (X, g) be a compact Riemannian stratified space with simple edge singularity. Thus a neighbourhood of the singular stratum is a bundle of truncated cones over a lower dimensional compact smooth manifold. We calculate the various polynomially weighted de Rham cohomology spaces of X, as well as the associated spaces of harmonic forms. In the unweighted case, this is closely related to recent work of Cheeger and Dai [5]. Because the metric g is incomplete, this requires a consideration of the various choices of ideal boundary conditions at the singular set. We also calculate the space of L2 harmonic forms for any complete edge metric on the regular part of X.
Description: This is a pre-copyedited, author-produced PDF of an article accepted for publication in International Mathematics Research Notices following peer review. The version of record HUNSICKER, E. and MAZZEO, R., 2005. Harmonic forms on manifolds with edges. International Mathematics Research Notices, 52, pp. 3229 - 3272 is available online at: http://dx.doi.org/10.1155/IMRN.2005.3229
Sponsor: The first author was partially supported by the NSF through an ROA supplement to Grant DMS- 0204730. The second author was supported by the NSF through Grant DMS-0204730.
Version: Accepted for publication
DOI: 10.1155/IMRN.2005.3229
URI: https://dspace.lboro.ac.uk/2134/17163
Publisher Link: http://dx.doi.org/10.1155/IMRN.2005.3229
ISSN: 1687-0247
Appears in Collections:Published Articles (Maths)

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