The free loop space homology of (n-1)-connected 2n-manifolds

Our goal in this paper is to compute the integral free loop space homology of ( n - 1 ) -connected 2 n -manifolds. We do this when n ≥ 2 and n ≠ 2 , 4 , 8 , though the techniques here should cover a much wider range of manifolds. We also give partial information concerning the action of the Batalin–...

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Bibliographic Details
Published inJournal of homotopy and related structures Vol. 12; no. 2; pp. 413 - 432
Main Authors Beben, Piotr, Seeliger, Nora
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2017
Springer Nature B.V
Subjects
Algebra
Algebraic Topology
Fines & penalties
Functional Analysis
Homology
Manifolds
Mathematics
Mathematics and Statistics
Number Theory
Operators (mathematics)
Primary 55P35
Highly connected manifolds
57N65
Free loop space
Secondary 55T10
String topology
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Summary:Our goal in this paper is to compute the integral free loop space homology of ( n - 1 ) -connected 2 n -manifolds. We do this when n ≥ 2 and n ≠ 2 , 4 , 8 , though the techniques here should cover a much wider range of manifolds. We also give partial information concerning the action of the Batalin–Vilkovisky operator.
ISSN:2193-8407
1512-2891
DOI:10.1007/s40062-016-0132-4