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Stable mapping class groups of $4$-manifolds with boundary

Author(s): Osamu Saeki
Journal: Trans. Amer. Math. Soc. 358 (2006), 2091-2104.
MSC (2000): Primary 57N13; Secondary 57R52, 57N37
Posted: April 22, 2005
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Abstract: We give a complete algebraic description of the mapping class groups of compact simply connected 4-manifolds with boundary up to connected sum with copies of $S^2 \times S^2$.

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Additional Information:

Osamu Saeki
Affiliation: Faculty of Mathematics, Kyushu University, Hakozaki, Fukuoka 812-8581, Japan
Email: saeki@math.kyushu-u.ac.jp

DOI: 10.1090/S0002-9947-05-03748-7
PII: S 0002-9947(05)03748-7
Keywords: Isotopy, 4-manifold with boundary, stable mapping class group, variation map, isometry
Received by editor(s): April 4, 2001
Received by editor(s) in revised form: April 25, 2004
Posted: April 22, 2005
Additional Notes: The author was supported in part by Grant-in-Aid for Scientific Research (No.~11440022), Ministry of Education, Science and Culture, Japan.
Copyright of article: Copyright 2005, American Mathematical Society

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