First Cases of Intersection Spaces in Stratification Depth 2

Markus Banagl

Journal of Singularities
volume 5 (2012), 57-84
Proceedings of the International Conference on Singularity Theory and Applications, Hefei, China, July 25-31, 2011

Received 17 October 2011. Received in revised form 16 January 2012.

DOI: 10.5427/jsing.2012.5e

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Abstract:

Previous constructions of intersection spaces for stratified pseudomanifolds all required the stratification depth to be at most 1. Here, we construct intersection spaces for certain simple stratifications of depth 2, involving different singularity links.

Keywords:

Stratified spaces, pseudomanifolds, intersection homology, Poincaré duality

Mathematical Subject Classification:

55N33, 57P10

Author(s) information:

Markus Banagl
Mathematisches Institut
Universität Heidelberg
Im Neuenheimer Feld 288
69120 Heidelberg, Germany
email: banagl@mathi.uni-heidelberg.de