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The String Topology of (2n-1)-connected 4n-manifolds

The String Topology of (2n-1)-connected 4n-manifolds
The String Topology of (2n-1)-connected 4n-manifolds
Our goal in this paper is the computation of the String Topology of (2n?1) -connected 4n -manifolds using spectral sequences and basic homotopy theory. A complete description of the integral free loop space homology is given for n>1 , while partial results are obtained for the action of the Batalin-Vilkovisky operator and the Chas-Sullivan loop product.
1-33
Beben, Piotr
a74d3e1f-52e0-4dc6-8f20-9c1628a20d2b
Seeliger, Nora
aa393001-870a-4485-b4e0-82bcbbb3a8e9
Beben, Piotr
a74d3e1f-52e0-4dc6-8f20-9c1628a20d2b
Seeliger, Nora
aa393001-870a-4485-b4e0-82bcbbb3a8e9

Beben, Piotr and Seeliger, Nora (2012) The String Topology of (2n-1)-connected 4n-manifolds. arXiv, 1-33.

Record type: Article

Abstract

Our goal in this paper is the computation of the String Topology of (2n?1) -connected 4n -manifolds using spectral sequences and basic homotopy theory. A complete description of the integral free loop space homology is given for n>1 , while partial results are obtained for the action of the Batalin-Vilkovisky operator and the Chas-Sullivan loop product.

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More information

e-pub ahead of print date: 10 July 2012
Organisations: Mathematical Sciences

Identifiers

Local EPrints ID: 365623
URI: http://eprints.soton.ac.uk/id/eprint/365623
PURE UUID: 4600cb5a-6f6d-47f5-9a8a-7c92ac71cf83

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Date deposited: 10 Jun 2014 15:11
Last modified: 11 Dec 2021 04:23

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Contributors

Author: Piotr Beben
Author: Nora Seeliger

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