Botvinnik, Boris and Hanke, Bernhard and Schick, Thomas and Walsh, Mark (2014) Homotopy groups of the moduli space of metrics of positive scalar curvature. Geometry & Topology, 14 (4). pp. 2047-2076. ISSN 1465-3060

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Abstract

We show by explicit examples that in many degrees in a stable range the homotopy groups of the moduli spaces of Riemannian metrics of positive scalar curvature on closed smooth manifolds can be non-trivial. This is achieved by further developing and then applying a family version of the surgery construction of Gromov–Lawson to certain nonlinear smooth sphere bundles constructed by Hatcher.

Item Type:	Article
Keywords:	positive scalar curvature metrics; classifying space of a diffeomorphism group; Gromov–Lawson surgery parametrized by a Morse function; rational homotopy type; Hatcher map;
Academic Unit:	Faculty of Science and Engineering > Mathematics and Statistics
Item ID:	10106
Identification Number:	https://doi.org/10.2140/gt.2010.14.2047
Depositing User:	Mark Walsh
Date Deposited:	16 Oct 2018 14:17
Journal or Publication Title:	Geometry & Topology
Publisher:	Mathematical Sciences Publishers (MSP)
Refereed:	Yes
URI:
Use Licence:	This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here

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