The Mapping Class Group of Manifolds Which Are Like Projective Planes-Reference-Cited by-同舟云学术

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The Mapping Class Group of Manifolds Which Are Like Projective Planes

Published:2023-12-06 Issue: Volume: Page:
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Su Yang¹²,Wang Wei³

Affiliation:

1. School of Mathematics and Systems Science , Chinese Academy of Sciences, Beijing 100190, China

2. School of Mathematical Sciences , University of Chinese Academy of Sciences, Beijing 100049, China

3. Department of Mathematics and Computational Science , Shanghai Ocean University, Shanghai 201306, China

Abstract

Abstract In this paper, we compute the mapping class group of simply-connected closed smooth manifolds $M$ with integral homology $H_{*}(M) \cong {\mathbb {Z}} \oplus {\mathbb {Z}} \oplus {\mathbb {Z}}$ provided that $\dim M \ne 4$.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

https://academic.oup.com/imrn/advance-article-pdf/doi/10.1093/imrn/rnad284/54035792/rnad284.pdf

Reference42 articles.

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2. On the groups $\textrm {J}\left (\textrm {X}\right )$ IV;Adams;Topology,1966

3. Spin cobordism;Anderson;Bull. Amer. Math. Soc.,1966

4. The Yang–Mills equations over Riemann surfaces;Atiyah;Philos. Trans. R Soc. Lond. Ser. A Math. Phys. Eng. Sci.,1983

5. On the group of homotopy equivalences of a manifold;Baues;Trans. Amer. Math. Soc.,1996

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