Proceedings of the International Geometry Center

ISSN-print: 2072-9812
ISSN-online: 2409-8906
ISO: 26324:2012
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The Lie bracket structure of the string homology on a formal space

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Published Dec 1, 2025
DOI https://doi.org/10.15673/pigc.v18i3.2793

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Oteng Maphane
Botswana International University of Science and Technology

Abstract

In this paper, we consider the Chas-Sullivan loop space homology H*(XS1) of a formal elliptic 2-stage Postnikov tower X. We show that the center of the graded Lie algebra sH*(XS1; Q) on a minimal Sullivan model of X is non-trivial.

Keywords:
Hochschild cohomology, Sullivan algebra, Loop space homology

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How to Cite
Maphane, O. (2025). The Lie bracket structure of the string homology on a formal space. Proceedings of the International Geometry Center, 18(3), 262-273. https://doi.org/10.15673/pigc.v18i3.2793
Issue
Vol 18 No 3 (2025)
Section
Papers
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