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Alpine perspectives on algebraic topology : Third Arolla Conference on Algebraic Topology, August 18-24, 2008, Arolla, Switzerland / Christian Ausoni, Kathryn Hess, Jérôme Scherer, editors.

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Format:
Book
Conference/Event
Author/Creator:
Arolla Conference on Algebraic Topology, Corporate Author.
Contributor:
Ausoni, Christian, 1968- editor.
Hess, Kathryn, 1967- editor.
Scherer, Jérôme, 1969- editor.
Conference Name:
Arolla Conference on Algebraic Topology (3rd : 2008), issuing body.
Arolla Conference on Algebraic Topology.
Series:
Contemporary mathematics (American Mathematical Society). 0271-4132 504
Contemporary mathematics, 504 0271-4132
Language:
English
Subjects (All):
Algebraic topology--Congresses.
Algebraic topology.
Physical Description:
1 online resource (274 p.)
Edition:
1st ed.
Place of Publication:
Providence, Rhode Island : American Mathematical Society, [2009]
Language Note:
English
Contents:
Contents
Preface
List of Conference Talks
List of Participants
L-complete Hopf algebroids and their comodules
The lattice path operad and Hochschild cochains
Open-closed field theories, string topology, and Hochschild homology
Introduction
1. Open-closed Topological Field Theories
2. The string topology category and its Hochschild homology
3. Relations with the Fukaya category of the cotangent bundle
References
Cellular covers of divisible abelian groups
Some geometric properties of the Witten genus
Localization and cellularization of principal fibrations
Operadic cobar constructions, cylinder objects and homotopy morphisms of algebras over operads
The homotopy of operads and of algebras over operads
0. The background of dg-modules
1. Operads in dg-modules
2. The category of algebras associated to an operad
Applications of the operadic cobar construction
3. The operadic cobar construction
4. The cobar construction and cofibrant models of algebras over operads
5. Cylinder objects and homotopy morphisms
Bibliography
Involutions on the rational K-theory of group rings of finite groups
A quick trip through localization
1. Geometric localization
2. Geometric localization exists
3. Localization of abelian groups
4. Classical localization of abelian groups, inverting a set of primes
5. Classical localization of spaces
6. Limits and derived functors
7. Hom and Ext
8. p??completion of abelian groups
9. p??completion of topological spaces
10. Miller's theorem and the Zabrodsky Lemma
11. An exotic localization theorem and Serre's theorem
12. Applications of exotic localization
13. Serre's conjecture
Divided power structures and chain complexes.
Notes:
Description based upon print version of record.
Includes bibliographical references.
Description based on print version record.
ISBN:
9780821881835
0821881833
9780821848395
0821848399

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