Homotopy Invariance of the Space of Metrics with Positive Scalar Curvature on Manifolds with Singularities

dc.contributor.author	Botvinnik, Boris
dc.contributor.author	Walsh, Mark G.
dc.date.accessioned	2025-12-29T11:09:33Z
dc.date.issued	2021
dc.description.abstract	In this paper, we study manifolds, 𝑋Σ, with fibred singularities, more specifically, a relevant space 𝓡ᵖˢᶜ(𝑋Σ) of Riemannian metrics with positive scalar curvature. Our main goal is to prove that the space 𝓡ᵖˢᶜ(𝑋Σ) is homotopy invariant under certain surgeries on 𝑋Σ.
dc.description.sponsorship	BB was partially supported by Simons Collaboration Grant 708183. We thank the referees for their careful reading and thoughtful comments. The second author would like to thank David Wraith for some productive conversations.
dc.identifier.citation	Homotopy Invariance of the Space of Metrics with Positive Scalar Curvature on Manifolds with Singularities. Boris Botvinnik and Mark G. Walsh. SIGMA 17 (2021), 034, 27 pages
dc.identifier.doi	https://doi.org/10.3842/SIGMA.2021.034
dc.identifier.issn	1815-0659
dc.identifier.other	2020 Mathematics Subject Classification: 53C27; 57R65; 58J05; 58J50
dc.identifier.other	arXiv:2005.03073
dc.identifier.uri	https://nasplib.isofts.kiev.ua/handle/123456789/211315
dc.language.iso	en
dc.publisher	Інститут математики НАН України
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.status	published earlier
dc.title	Homotopy Invariance of the Space of Metrics with Positive Scalar Curvature on Manifolds with Singularities
dc.type	Article

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