The free loop space homology of $$(n-1)$$(n-1)-connected 2n-manifolds
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Homotopy and Related Structures"
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
The Chern character of ϑ-summable Fredholm modules over dg algebras and localization on loop space
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DOI: 10.1016/j.aim.2021.108143
Abstract: We introduce the notion of a {\theta}-summable Fredholm module over a locally convex dg algebra {\Omega} and construct its Chern character as an entire cyclic cocyle in the entire cyclic complex of {\Omega}, leading to… read more here.
Keywords: chern character; character; localization; summable fredholm ... See more keywords
A symmetric monoidal and equivariant Segal infinite loop space machine
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DOI: 10.1016/j.jpaa.2018.09.001
Abstract: In [MMO] (arXiv:1704.03413), we reworked and generalized equivariant infinite loop space theory, which shows how to construct $G$-spectra from $G$-spaces with suitable structure. In this paper, we construct a new variant of the equivariant Segal… read more here.
Keywords: machine; equivariant segal; infinite loop; symmetric monoidal ... See more keywords
Borsuk–Ulam theorem for the loop space of a sphere
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DOI: 10.1016/j.topol.2018.10.004
Abstract: We study Borsuk-Ulam type results for the loopspace of an euclidean sphere without loops equal to their inverses. read more here.
Keywords: ulam theorem; topology; loop space; borsuk ulam ... See more keywords