Lahtinen, Anssi Sebastian
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Anssi Sebastian Lahtinen
String topology and twisted Ktheory by Anssi Sebastian Lahtinen(
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1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
The mathematics in this thesis is motivated by the desire to connect the twisted equivariant Ktheory of a compact Lie group G to the string topology of its classifying space BG. The thesis consists of two parts. In the first part, we prove a generalization of the AtiyahSegal completion theorem to twisted Ktheory, a result which Kriz, Westerland and Levin have subsequently used to connect the twisted equivariant Kgroups of G to the GruherSalvatore string topology of BG. In the second part, we present work towards the construction of a conjectural family of field theories which, on one hand, are closely related to Freed, Hopkins and Teleman's field theories featuring the twisted equivariant Ktheory of G, and which on the other hand contain the ChataurMenichi string topology of BG as a special case. The main result of the second part is the construction of the fieldtheory operation associated with a fixed cobordism
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
The mathematics in this thesis is motivated by the desire to connect the twisted equivariant Ktheory of a compact Lie group G to the string topology of its classifying space BG. The thesis consists of two parts. In the first part, we prove a generalization of the AtiyahSegal completion theorem to twisted Ktheory, a result which Kriz, Westerland and Levin have subsequently used to connect the twisted equivariant Kgroups of G to the GruherSalvatore string topology of BG. In the second part, we present work towards the construction of a conjectural family of field theories which, on one hand, are closely related to Freed, Hopkins and Teleman's field theories featuring the twisted equivariant Ktheory of G, and which on the other hand contain the ChataurMenichi string topology of BG as a special case. The main result of the second part is the construction of the fieldtheory operation associated with a fixed cobordism
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 Carlsson, G. (Gunnar) 1952 Thesis advisor
 Galatius, Søren 1976 Thesis advisor
 Cohen, Ralph L. 1952 Thesis advisor
 Stanford University Department of Mathematics
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