Self-homeomorphisms and Degree $$\pm \,1$$±1 Self-maps on Lens Spaces
Sign Up to like & getrecommendations! Published in 2019 at "Bulletin of the Iranian Mathematical Society"
DOI: 10.1007/s41980-019-00235-1
Abstract: In this article, we give a sufficient and necessary condition to that a degree $$\pm \,1$$±1 self-map on a $$(2n-1)$$(2n-1)-dimensional lens space for $$n \ge 2$$n≥2 is homotopic to a self-homeomorphism. In fact, we show… read more here.
Keywords: self maps; lens spaces; homeomorphisms degree; self homeomorphisms ... See more keywords
Cosmic topology. Part Ic. Limits on lens spaces from circle searches
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DOI: 10.1088/1475-7516/2025/01/004
Abstract: Cosmic microwave background (CMB) temperature and polarization observations indicate that in the best-fit Λ Cold Dark Matter model of the Universe, the local geometry is consistent with at most a small amount of positive or… read more here.
Keywords: cosmic topology; topology part; part limits; lens spaces ... See more keywords
Givental’s Non-linear Maslov Index on Lens Spaces
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DOI: 10.1093/imrn/rnz350
Abstract: Givental’s non-linear Maslov index, constructed in 1990, is a quasimorphism on the universal cover of the identity component of the contactomorphism group of real projective space. This invariant was used by several authors to prove… read more here.
Keywords: linear maslov; non linear; givental non; maslov index ... See more keywords