Volume 7, issue 4 (2007)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 25, 1 issue

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
An algebraic model for the loop space homology of a homotopy fiber

Kathryn Hess and Ran Levi

Algebraic & Geometric Topology 7 (2007) 1699–1765
Bibliography
1 H J Baues, The cobar construction as a Hopf algebra, Invent. Math. 132 (1998) 467 MR1625728
2 F R Cohen, J C Moore, J A Neisendorfer, Torsion in homotopy groups, Ann. of Math. $(2)$ 109 (1979) 121 MR519355
3 S Eilenberg, J C Moore, Homology and fibrations. I. Coalgebras, cotensor product and its derived functors, Comment. Math. Helv. 40 (1966) 199 MR0203730
4 Y Félix, S Halperin, J C Thomas, Differential graded algebras in topology, from: "Handbook of algebraic topology", North-Holland (1995) 829 MR1361901
5 V K A M Gugenheim, H J Munkholm, On the extended functoriality of Tor and Cotor, J. Pure Appl. Algebra 4 (1974) 9 MR0347946
6 K Hess, P E Parent, J Scott, Co-rings over operads characterize morphisms arXiv:math.AT/0505559
7 K Hess, P E Parent, J Scott, A chain coalgebra model for the James map, Homology, Homotopy Appl. 9 (2007)
8 K Hess, P E Parent, J Scott, A Tonks, A canonical enriched Adams–Hilton model for simplicial sets, Adv. Math. 207 (2006) 847 MR2271989
9 M Markl, Operads and PROPs arXiv:math.AT/0601129
10 M Markl, S Shnider, J Stasheff, Operads in algebra, topology and physics, Mathematical Surveys and Monographs 96, American Mathematical Society (2002) MR1898414
11 R J Milgram, Iterated loop spaces, Ann. of Math. $(2)$ 84 (1966) 386 MR0206951
12 H R Miller, A localization theorem in homological algebra, Math. Proc. Cambridge Philos. Soc. 84 (1978) 73 MR0494105
13 J W Milnor, J C Moore, On the structure of Hopf algebras, Ann. of Math. $(2)$ 81 (1965) 211 MR0174052
14 B Ndombol, J C Thomas, On the cohomology algebra of free loop spaces, Topology 41 (2002) 85 MR1871242
15 J Stasheff, S Halperin, Differential algebra in its own rite, from: "Proceedings of the Advanced Study Institute on Algebraic Topology (Aarhus Univ., Aarhus 1970), Vol. III", Mat. Inst. (1970) MR0339181
16 R H Szczarba, The homology of twisted cartesian products, Trans. Amer. Math. Soc. 100 (1961) 197 MR0137111
17 D Tanré, Homotopie rationnelle: modèles de Chen, Quillen, Sullivan, Lecture Notes in Mathematics 1025, Springer (1983) MR764769