On rational loop homology of some fibrations

Rampao K. Sangma () and Angom Tiken Singh ()
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Rampao K. Sangma: North-Eastern Hill University
Angom Tiken Singh: North-Eastern Hill University

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 3, 797-805

Abstract: Abstract Let $$ F\rightarrow X\rightarrow Y $$ F → X → Y be a fibration, where X, Y and F are simply connected compact manifolds. We develop a technique to compute the loop homology of X with rational coefficients and its loop bracket, when the underlying graded vector spaces of the minimal Sullivan models of Y and F are finite dimensional.

Keywords: Gerstenhaber algebra; Sullivan algebra; Sullivan model; Loop homology; Loop bracket; Fibration; 55P62; 55P35 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00298-7

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