Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Remote Access
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Intrinsic formality and certain types of algebras


Author: Gregory Lupton
Journal: Trans. Amer. Math. Soc. 319 (1990), 257-283
MSC: Primary 55P62; Secondary 32C10
MathSciNet review: 1005081
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: In this paper, a type of algebra is introduced and studied from a rational homotopy point of view, using differential graded Lie algebras. The main aim of the paper is to establish whether or not such an algebra is the rational cohomology algebra of a unique rational homotopy type of spaces. That is, in the language of rational homotopy, whether or not such an algebra is intrinsically formal. Examples are given which show that, in general, this is not so--7.8 and 7.9. However, whilst it is true that not all such algebras are intrinsically formal, some of them are. The main results of this paper show a certain class of these algebras to be intrinsically formal--Theorem $ 2$ (6.1); and a second, different type of algebra also to be intrinsically formal--Theorem $ 1$ (5.2), which type of algebra overlaps with the first type in many examples of interest. Examples are given in $ \S7$.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 55P62, 32C10

Retrieve articles in all journals with MSC: 55P62, 32C10


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1990-1005081-0
PII: S 0002-9947(1990)1005081-0
Keywords: Rational homotopy, intrinsic formality, Kähler manifolds
Article copyright: © Copyright 1990 American Mathematical Society



Comments: Email Webmaster

© Copyright , American Mathematical Society
Contact Us · Sitemap · Privacy Statement

Connect with us Facebook Twitter Google+ LinkedIn Instagram RSS feeds Blogs YouTube Podcasts Wikipedia