A Hochschild homology Euler characteristic for circle actions

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dc.creatorGeoghegan, Ross
dc.creatorNicas, Andrew
dc.date1998-10-27
dc.date.accessioned2026-07-07T05:26:36Z
dc.date.available2026-07-07T05:26:36Z
dc.descriptionWe define a "circle Euler characteristic" of a circle action on a compact manifold or finite complex X. It lies in the first Hochschild homology group of ZG where G is the fundamental group of X. It is analogous in many ways to the ordinary Euler characteristic. One application is an intuitively satisfying formula for the Euler class (integer coefficients) of the normal bundle to a smooth circle action without fixed points on a manifold. In the special case of a 3-dimensional Seifert fibered space, this formula is particularly effective. \~
dc.description50 pages, To appear in "K-Theory"
dc.identifierhttps://arxiv.org/abs/math/9810151
dc.identifierhttp://arxiv.org/abs/math/9810151
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77610
dc.subjectK-Theory and Homology
dc.subjectGeometric Topology
dc.subject19B99; 57R20
dc.titleA Hochschild homology Euler characteristic for circle actions
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