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Deformation complexes for algebraic operads and their applications [PhD thesis] by Brian Paljug is a nonfiction available to read on EtoBox.

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DEDICATION......Page 1 List of Figures......Page 9 INTRODUCTION......Page 10 Notation & conventions......Page 15 Operads......Page 17 Homotopy algebras......Page 24 A basis for the operad -2 `39`42`"613A``45`47`"603AGer......Page 26 The dg operad of brace trees......Page 27 Basic definition and properties......Page 30 Cohomological properties......Page 33 Derivations of `39`42`"613A``45`47`"603ACyl(C)......Page 40 Derived automorphisms of `39`42`"613A``45`47`"603ACyl(C)......Page 45 `39`42`"613A``45`47`"603ACyl(C) and diagrams of `39`42`"613A``45`47`"603ACobar(C)-algebras......Page 48 Homotopy uniqueness......Page 52 TAMARKIN'S CONSTRUCTION OF FORMALITY MORPHISMS......Page 56 ACTIONS OF THE GROTHENDIECK-TEICHMUELLER GROUP ON TAMARKIN'S CONSTRUCTION......Page 63 The action of `39`42`"613A``45`47`"603AGRT1 on 0 (to. `39`42`"613A``45`47`"603AGer `39`42`"613A``45`47`"603ABraces)to.......Page 64 The action of `39`42`"613A``45`47`"603AGRT1 on 0 (to. VA C(A) )to.......Page 65 The theorem on `39`42`"613A``45`47`"603AGRT1-equivariance......Page 67 The proof of Proposition 7.1......Page 70 The sets `39`42`"613A``45`47`"603ADrAssoc of Drinfeld associators......Page 74 A map B from `39`42`"613

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Author

Brian Paljug

Publisher

Temple University

Published

2015

Language

EN

Category

nonfiction