Geodesic
Constraints on families of smooth 4–manifolds from Pin−(2)–monopole
Konno, Hokuto1 ; Nakamura, Nobuhiro2
1 Graduate School of Mathematical Sciences, University of Tokyo, Tokyo, Japan
2 Integrated Center for Science and Humanities, Fukushima Medical University, Fukushima, Japan
Algebraic and Geometric Topology, Tome 23 (2023) no. 1, pp. 419-438

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Using the Seiberg–Witten monopole equations, Baraglia recently proved that the inclusion Diff ⁡ (X)↪Homeo ⁡ (X) is not a weak homotopy equivalence for most of simply connected closed smooth 4–manifolds X. We generalize Baraglia’s result by using the Pin ⁡ −(2)–monopole equations instead. We also give new examples of 4–manifolds X for which π0(Diff ⁡ (X)) → π0(Homeo ⁡ (X)) are not surjections.

DOI : 10.2140/agt.2023.23.419
Keywords: diffeomorphism, homeomorphism, 4–manifold

Konno, Hokuto 1 ; Nakamura, Nobuhiro 2

1 Graduate School of Mathematical Sciences, University of Tokyo, Tokyo, Japan
2 Integrated Center for Science and Humanities, Fukushima Medical University, Fukushima, Japan 
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Konno, Hokuto; Nakamura, Nobuhiro. Constraints on families of smooth 4–manifolds from Pin−(2)–monopole. Algebraic and Geometric Topology, Tome 23 (2023) no. 1, pp. 419-438. doi: 10.2140/agt.2023.23.419

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