L-homology on ball complexes and products

2016/11/13 by Spiros Adams-Florou, Adams-Florou, Spiros, Tibor Macko +1
Mathematics · #Advanced Algebra and Geometry #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology #math.GT #msc:57R65

paper · pdf · doi:10.48550/arxiv.1611.04114

32 pages

arxiv created 2016/11/13 · arxiv updated 2016/11/15

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.

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