Stable mapping class groups of $4$-manifolds with boundary
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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 $S^2 \times S^2$.References
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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
- Received by editor(s): April 4, 2001
- Received by editor(s) in revised form: April 25, 2004
- Published electronically: 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 2005 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 358 (2006), 2091-2104
- MSC (2000): Primary 57N13; Secondary 57R52, 57N37
- DOI: https://doi.org/10.1090/S0002-9947-05-03748-7
- MathSciNet review: 2197449