Simply Connected 3-Manifolds with a Dense Set of Ends of Specified Genus
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DOI: 10.1007/s00009-017-0907-9
Abstract: We show that for every sequence $$(n_i)$$(ni), where each $$n_i$$ni is either an integer greater than 1 or is $$\infty $$∞, there exists a simply connected open 3-manifold M with a countable dense set of… read more here.
Keywords: dense set; connected manifolds; genus; set ends ... See more keywords
The free loop space homology of $$(n-1)$$(n-1)-connected 2n-manifolds
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DOI: 10.1007/s40062-016-0132-4
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… read more here.
Keywords: space homology; free loop; connected manifolds; loop space ... See more keywords