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Operads in algebra, topology and physics:

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Bibliographic Details
Main Authors:	Markl, Martin 1960- (Author), Shnider, Steven 1945- (Author), Stasheff, James D. 1936- (Author)
Format:	Book
Language:	English
Published:	Providence, Rhode Island American Mathematical Society [2002]
Series:	Mathematical surveys and monographs Volume 96
Subjects:	Categorías (Matemáticas) Operads Operade Topologie Homotopietheorie Mathematische Physik Algebra
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009815927&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Item Description:	Hier auch später erschienene, unveränderte Nachdrucke
Physical Description:	x, 349 Seiten Diagramme
ISBN:	0821821342 9780821843628

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Record in the Search Index

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adam_text	Contents Preface ix Part I 1 Chapter 1. Introduction and History 3 A prehistory 3 1.1. Lazard s formal group laws 3 1.2. PROPs and PACTs 4 1.3. Non E operads and operads 5 1.4. Theories 7 1.5. Tree operads 8 1.6. ^loo spaces and loop spaces 9 1.7. jE^ spaces and iterated loop spaces 12 1.8. ^ algebras 13 1.9. Partiality and Aoc categories 14 1.10. Loc algebras 17 1.11. Coc algebras 19 1.12. n ary algebras 19 1.13. Operadic bar construction and Koszul duality 20 1.14. Cyclic operads 21 1.15. Moduli spaces and modular operads 22 1.16. Operadic interpretation of closed string field theory 23 1.17. From topological operads to dg operads 26 1.18. Homotopy invariance in algebra and topology 27 1.19. Formality, quantization and Deligne s conjecture 29 1.20. Insertion operads 31 Part II 35 Chapter 1. Operads in a Symmetric Monoidal Category 37 1.1. Symmetric monoidal categories 37 1.2. Operads 40 1.3. Pseudo operads 45 1.4. Operad algebras 46 1.5. The pseudo operad of labeled rooted trees 50 1.6. The Stasheff associahedra 56 1.7. Operads defined in terms of arbitrary finite sets 60 1.8. Operads as monoids 67 1.9. Free operads and free pseudo operads 71 vii viii CONTENTS 1.10. Collections, A collections and if operads 84 1.11. The GK construction 86 1.12. Triples 88 Chapter 2. Topology Review of Classical Results 93 2.1. Iterated loop spaces 93 2.2. Recognition 94 2.3. The bar construction: theme and variations 96 2.4. Approximation 97 2.5. T spaces 101 2.6. Homology operations 102 2.7. The linear isometries operad and infinite loop spaces 106 2.8. VF construction 109 2.9. Algebraic structures up to strong homotopy 112 Chapter 3. Algebra 121 3.1. The cobar complex of an operad 121 3.2. Quadratic operads 137 3.3. Koszul operads 145 3.4. A complex relating the two conditions for a Koszul operad 149 3.5. Trees with levels 154 3.6. The spectral sequences relating N(P) and C{V) 158 3.7. Coalgebras and coderivations 165 3.8. The homology and cohomology of operad algebras 173 3.9. The pre Lie structure on Coder(T$,(X)) 182 3.10. Application: minimal models and homotopy algebras 186 Chapter 4. Geometry 203 4.1. Configuration spaces operads and modules 203 4.2. Deligne Knudsen Mumford compactification of moduli spaces 212 4.3. Compactification of configuration spaces of points in Kn 218 4.4. Compactification of configurations of points in a manifold 234 Chapter 5. Generalization of Operads 247 5.1. Cyclic operads 247 5.2. Application: cyclic (co)homology 258 5.3. Modular operads 267 5.4. The Feynman transform 279 5.5. Application: graph complexes 290 5.6. Application: moduli spaces of surfaces of arbitrary genera 304 5.7. Application: closed string field theory 312 Epilog 327 Bibliography 329 Glossary of notations 339 Index 345
any_adam_object	1
author	Markl, Martin 1960- Shnider, Steven 1945- Stasheff, James D. 1936-
author_GND	(DE-588)173358861 (DE-588)172689864 (DE-588)1089790864
author_facet	Markl, Martin 1960- Shnider, Steven 1945- Stasheff, James D. 1936-
author_role	aut aut aut
author_sort	Markl, Martin 1960-
author_variant	m m mm s s ss j d s jd jds
building	Verbundindex
bvnumber	BV014308802
classification_rvk	SK 300 SK 320
ctrlnum	(OCoLC)318373640 (DE-599)BVBBV014308802
dewey-full	511.3
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	511 - General principles of mathematics
dewey-raw	511.3
dewey-search	511.3
dewey-sort	3511.3
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
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id	DE-604.BV014308802
illustrated	Not Illustrated
indexdate	2024-12-20T11:03:00Z
institution	BVB
isbn	0821821342 9780821843628
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-009815927
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physical	x, 349 Seiten Diagramme
publishDate	2002
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publisher	American Mathematical Society
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series	Mathematical surveys and monographs
series2	Mathematical surveys and monographs
spellingShingle	Markl, Martin 1960- Shnider, Steven 1945- Stasheff, James D. 1936- Operads in algebra, topology and physics Mathematical surveys and monographs Categorías (Matemáticas) Operads Operade (DE-588)4638722-5 gnd Topologie (DE-588)4060425-1 gnd Homotopietheorie (DE-588)4128142-1 gnd Mathematische Physik (DE-588)4037952-8 gnd Algebra (DE-588)4001156-2 gnd
subject_GND	(DE-588)4638722-5 (DE-588)4060425-1 (DE-588)4128142-1 (DE-588)4037952-8 (DE-588)4001156-2
title	Operads in algebra, topology and physics
title_auth	Operads in algebra, topology and physics
title_exact_search	Operads in algebra, topology and physics
title_full	Operads in algebra, topology and physics Martin Markl ; Steve Shnider ; Jim Stasheff
title_fullStr	Operads in algebra, topology and physics Martin Markl ; Steve Shnider ; Jim Stasheff
title_full_unstemmed	Operads in algebra, topology and physics Martin Markl ; Steve Shnider ; Jim Stasheff
title_short	Operads in algebra, topology and physics
title_sort	operads in algebra topology and physics
topic	Categorías (Matemáticas) Operads Operade (DE-588)4638722-5 gnd Topologie (DE-588)4060425-1 gnd Homotopietheorie (DE-588)4128142-1 gnd Mathematische Physik (DE-588)4037952-8 gnd Algebra (DE-588)4001156-2 gnd
topic_facet	Categorías (Matemáticas) Operads Operade Topologie Homotopietheorie Mathematische Physik Algebra
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009815927&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000018014
work_keys_str_mv	AT marklmartin operadsinalgebratopologyandphysics AT shnidersteven operadsinalgebratopologyandphysics AT stasheffjamesd operadsinalgebratopologyandphysics

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