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Our goal in this paper is to compute the integral free loop space homology of $$(n-1)$$(n-1)-connected 2n-manifolds. We do this when $$n\ge 2$$n≥2 and $$n\ne 2,4,8$$n≠2,4,8, though the techniques here… Click to show full abstract
Our goal in this paper is to compute the integral free loop space homology of $$(n-1)$$(n-1)-connected 2n-manifolds. We do this when $$n\ge 2$$n≥2 and $$n\ne 2,4,8$$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.
Keywords:
space homology;
free loop;
connected manifolds;
loop space;
homology connected
Journal Title: Journal of Homotopy and Related Structures
Year Published: 2017
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Journal Title: Journal of Homotopy and Related Structures
Year Published: 2017
Link to full text (if available)
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recommendations!