Diffeomorphisms of 4-manifolds with boundary and exotic embeddings

Nobuo Iida; Hokuto Konno; Anubhav Mukherjee; Masaki Taniguchi

doi:10.1007/s00208-024-02974-x

Diffeomorphisms of 4-manifolds with boundary and exotic embeddings

Nobuo Iida
, Hokuto Konno
, Anubhav Mukherjee
, Masaki Taniguchi

Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

We define family versions of the invariant of 4-manifolds with contact boundary due to Kronheimer and Mrowka and use these to detect exotic diffeomorphisms of 4-manifolds with boundary. Further, we show the existence of the first example of exotic 3-spheres in a smooth closed 4-manifold with diffeomorphic complements.

Original language	English (US)
Article number	107994
Pages (from-to)	1845-1897
Number of pages	53
Journal	Mathematische Annalen
Volume	391
Issue number	2
DOIs	https://doi.org/10.1007/s00208-024-02974-x
State	Published - Feb 2025

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s00208-024-02974-x

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title = "Diffeomorphisms of 4-manifolds with boundary and exotic embeddings",

abstract = "We define family versions of the invariant of 4-manifolds with contact boundary due to Kronheimer and Mrowka and use these to detect exotic diffeomorphisms of 4-manifolds with boundary. Further, we show the existence of the first example of exotic 3-spheres in a smooth closed 4-manifold with diffeomorphic complements.",

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AU - Konno, Hokuto

AU - Mukherjee, Anubhav

AU - Taniguchi, Masaki

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N2 - We define family versions of the invariant of 4-manifolds with contact boundary due to Kronheimer and Mrowka and use these to detect exotic diffeomorphisms of 4-manifolds with boundary. Further, we show the existence of the first example of exotic 3-spheres in a smooth closed 4-manifold with diffeomorphic complements.

AB - We define family versions of the invariant of 4-manifolds with contact boundary due to Kronheimer and Mrowka and use these to detect exotic diffeomorphisms of 4-manifolds with boundary. Further, we show the existence of the first example of exotic 3-spheres in a smooth closed 4-manifold with diffeomorphic complements.

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Diffeomorphisms of 4-manifolds with boundary and exotic embeddings

Abstract

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