L-INFINITY MAPS AND TWISTINGS

被引：19

作者：

Chuang, Joseph ^{[1
]}

Lazarev, Andrey ^{[2
]}

机构：

[1] City Univ London, Ctr Math Sci, London EC1V 0HB, England

[2] Univ Leicester, Dept Math, Leicester LE1 7RH, Leics, England

来源：

HOMOLOGY HOMOTOPY AND APPLICATIONS | 2011年 / 13卷 / 02期

基金：

英国工程与自然科学研究理事会;

关键词：

differential graded Lie algebra; Maurer-Cartan element; A-infinity algebra; graph homology; Morita equivalence; HOMOTOPY ALGEBRAS;

D O I：

10.4310/HHA.2011.v13.n2.a12

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a construction of an L-infinity map from any L-infinity algebra into its truncated Chevalley-Eilenberg complex as well as its cyclic and A(infinity) analogues. This map fits with the inclusion into the full Chevalley-Eilenberg complex (or its respective analogues) to form a homotopy fiber sequence of L-infinity algebras. Applications to deformation theory and graph homology are given. We employ the machinery of Maurer-Cartan functors in L-infinity and A(infinity) algebras and associated twistings which should be of independent interest.

引用

页码：175 / 195

页数：21

共 50 条

[1] TRANSLATION INVARIANT MAPS L-INFINITY (G) - LP (G)
LIU, TS
VANROOIJ, AC
[J]. PROCEEDINGS OF THE KONINKLIJKE NEDERLANDSE AKADEMIE VAN WETENSCHAPPEN SERIES A-MATHEMATICAL SCIENCES, 1974, 77 (04): : 306 - 316
[2] ON INTERPOLATION BETWEEN L(1) + L-INFINITY AND L(1) INTERSECTION L-INFINITY
MALIGRANDA, L
OVCHINNIKOV, VI
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 1992, 107 (02) : 342 - 351
[3] SUBJECTIVE ISOMETRIES OF L1-BOOLEAN-AND L-INFINITY[0,INFINITY) AND L1 + L-INFINITY[0,INFINITY
GRZASLEWICZ, R
SCHAEFER, HH
[J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 1992, 3 (02): : 173 - 178
[4] COMPLETELY POSITIVE MAPS WHICH ARE COMPACT FROM L-INFINITY TO L1
MINGO, JA
[J]. MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1989, 106 : 313 - 323
[5] FACTORIZATION OF L-INFINITY FUNCTIONS
AXLER, S
[J]. ANNALS OF MATHEMATICS, 1977, 106 (03) : 567 - 572
[6] CERTAIN FUNCTIONALS ON L-INFINITY
CATER, FS
[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1982, 12 (01) : 1 - 5
[7] EXTENSION OF L-INFINITY FUNCTIONS
PAWLUCKI, W
PLESNIAK, W
[J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE, 1987, 304 (07): : 167 - 168
[8] DISTANCE IN BMO TO L-INFINITY
GARNETT, JB
JONES, PW
[J]. ANNALS OF MATHEMATICS, 1978, 108 (02) : 373 - 393
[9] INVARIANT MEANS ON L-INFINITY
RUDIN, W
[J]. STUDIA MATHEMATICA, 1972, 44 (03) : 219 - &
[10] CONTRACTIVE SELFMAPS OF L-INFINITY
MCCABE, TF
[J]. CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1974, 17 (03): : 421 - 424

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