The mapping class group of manifolds which are like projective planes
Yang Su, Wei Wang

TL;DR
This paper computes the mapping class group of certain simply-connected manifolds with specific homology, excluding four-dimensional cases, advancing understanding of their topological symmetries.
Contribution
It provides the first explicit computation of the mapping class group for these manifolds, extending previous knowledge beyond four dimensions.
Findings
Computed the mapping class group for manifolds with given homology
Excluded four-dimensional cases from the analysis
Enhanced understanding of topological symmetries of these manifolds
Abstract
In this paper we compute the mapping class group of simply-connected closed smooth manifolds with integral homology provided that .
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Geometric and Algebraic Topology · Algebraic structures and combinatorial models
