Title	Telescopic actions (joint work with D. Panov)
Creator	Petrunin, Anton
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2013-08-06
Description	A group action H on X is called ”telescopic” if for any finitely pre- sented group G, there exists a subgroup H’ in H such that G is isomorphic to the fundamental group of X/H’.\\r\\nWe construct examples of telescopic actions on some CAT[-1] spaces, in particular on 3 and 4-dimensional hyperbolic spaces. As applications we give new proofs of the following statements:\\r\\n(1) Aitchison’s theorem: Every finitely presented group G can ap- pear as the fundamental group of M/J, where M is a compact 3-manifold and J is an involution which has only isolated fixed points;\\r\\n(2) Taubes’ theorem: Every finitely presented group G can appear as the fundamental group of a compact complex 3-manifold.
Extent	33 minutes
Subject	Mathematics; Differential geometry; Manifolds and cell complexes
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Pennsylvania State University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2014-08-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivs 2.5 Canada
DOI	10.14288/1.0043485
URI	http://hdl.handle.net/2429/49429
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
Aggregated Source Repository	DSpace

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