000			03662nam a22004813i 4500
001			EBC3114053
003			MiAaPQ
005			20240729124558.0
006			m o d |
007			cr cnu||||||||
008			240724s2014 xx o ||||0 eng d
020			_a9781470416690 _q(electronic bk.)
020			_z9780821892121
035			_a(MiAaPQ)EBC3114053
035			_a(Au-PeEL)EBL3114053
035			_a(CaPaEBR)ebr11039672
035			_a(OCoLC)922981578
040			_aMiAaPQ _beng _erda _epn _cMiAaPQ _dMiAaPQ
050		4	_aQA612.7 -- .L36 2013eb
082	0		_a514/.24
100	1		_aLambrechts, Pascal.
245	1	0	_aFormality of the Little N-disks Operad.
250			_a1st ed.
264		1	_aProvidence : _bAmerican Mathematical Society, _c2014.
264		4	_c©2014.
300			_a1 online resource (130 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
490	1		_aMemoirs of the American Mathematical Society ; _vv.230
505	0		_aIntro -- Contents -- Acknowledgments -- Chapter 1. Introduction -- 1. Plan of the paper -- Chapter 2. Notation, linear orders, weak partitions, and operads -- 2.1. Notation -- 2.2. Linear orders -- 2.3. Weak ordered partitions -- 2.4. Operads and cooperads -- Chapter 3. CDGA models for operads -- Chapter 4. Real homotopy theory of semi-algebraic sets -- Chapter 5. The Fulton-MacPherson operad -- 5.1. Compactification of configuration spaces in ℝ^{ℕ} -- 5.2. The operad structure -- 5.3. The canonical projections -- 5.4. Decomposition of the boundary of [ ] into codimension 0 faces -- 5.5. Spaces of singular configurations -- 5.6. Pullback of a canonical projection along an operad structure map -- 5.7. Decomposition of the fiberwise boundary along a canonical projection -- 5.8. Orientation of [ ] -- 5.9. Proof of the local triviality of the canonical projections -- Chapter 6. The CDGAs of admissible diagrams -- 6.1. Diagrams -- 6.2. The module ( ) of diagrams -- 6.3. Product of diagrams -- 6.4. A differential on the space of diagrams -- 6.5. The CDGA ( ) of admissible diagrams -- Chapter 7. Cooperad structure on the spaces of (admissible) diagrams -- 7.1. Construction of the cooperad structure maps Ψ_{ } and Ψ_{ } -- 7.2. Ψ_{ } and Ψ_{ } are morphisms of algebras -- 7.3. Ψ_{ } is a chain map -- 7.4. Proof that the cooperad structure is well-defined -- Chapter 8. Equivalence of the cooperads and ℋ*( [∙]) -- Chapter 9. The Kontsevich configuration space integrals -- 9.1. Construction of the Kontsevich configuration space integral -- 9.2. is a morphism of algebras -- 9.3. Vanishing of on non-admissible diagrams -- 9.4. and are chain maps -- 9.5. and are almost morphisms of cooperads -- Chapter 10. Proofs of the formality theorems -- Index of notation -- Bibliography.
588			_aDescription based on publisher supplied metadata and other sources.
590			_aElectronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650		0	_aHomotopy theory.
650		0	_aOperads.
650		0	_aLoop spaces.
655		4	_aElectronic books.
700	1		_aVolić, Ismar.
776	0	8	_iPrint version: _aLambrechts, Pascal _tFormality of the Little N-disks Operad _dProvidence : American Mathematical Society,c2014 _z9780821892121
797	2		_aProQuest (Firm)
830		0	_aMemoirs of the American Mathematical Society
856	4	0	_uhttps://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114053 _zClick to View
999			_c69584 _d69584