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Title: The topology of spaces of polygons
Author: Fromm, Viktor
ISNI:       0000 0004 2708 841X
Awarding Body: Durham University
Current Institution: Durham University
Date of Award: 2011
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We study the topology of spaces of polygons in Euclidean space, viewed up to translations. The main results concern the structure of the homology groups and of the cohomology rings of the spaces. In particular, it is shown that the spaces are classified by their cohomology rings. A principal tool used in the proofs is a new lacunary principle for Morse-Bott functions, which may be of independent interest. Several applications are discussed.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available