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A secondary Chern-Euler class | | Ji-Ping Sha
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1 Nov 1999 | | Journal: | Ann. of Math. (2) 150 (1999), no. 3, 1151-1158 | | Subject: | Geometric Topology | math.GT | | Abstract: | Let xi be a smooth oriented vector bundle, with n-dimensional fibre, over a smooth manifold M. Denote by xi-hat the fibrewise one-point compactification of xi. The main purpose of this paper is to define geometrically a canonical element Upsilon(xi) in H^n(xi-hat,Q) (H^n(xi-hat,Z) tensor 1/2, to be more precise). The element Upsilon(xi) is a secondary characteristic class to the Euler class in the fashion of Chern-Simons. | | Source: | arXiv, math.GT/9911269 | | Services: | Forum | Review | PDF | Favorites | |
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