L-homology on ball complexes and products

Adams-Florou, S. and Macko, T. (2018) L-homology on ball complexes and products. Homology, Homotopy and Applications, 20(2), pp. 11-40. (doi: 10.4310/hha.2018.v20.n2.a2)

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Abstract

We construct homology theories with coefficients in L-spectra on the category of ball complexes and we define products in this setting. We also obtain signatures of geometric situations in these homology groups and prove product formulae which we hope will clarify products used in the theory of the total surgery obstruction.

Item Type:Articles
Keywords:Mathematics (miscellaneous).
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Adams-Florou, Dr Spiros
Authors: Adams-Florou, S., and Macko, T.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Homology, Homotopy and Applications
Publisher:International Press
ISSN:1532-0073
ISSN (Online):1532-0081
Copyright Holders:Copyright © 2018 International Press
First Published:First published in Homology, Homotopy and Applications 20(2):11-40
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

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