Lantern relations and rational blowdowns-Reference-Cited by-同舟云学术

Lantern relations and rational blowdowns

Published:2009-10-26 Issue:3 Volume:138 Page:1131-1142
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Endo Hisaaki,Gurtas Yusuf

Abstract

We discuss a connection between the lantern relation in mapping class groups and the rational blowing down process for 4 4 -manifolds. More precisely, if we change a positive relator in Dehn twist generators of the mapping class group by using a lantern relation, the corresponding Lefschetz fibration changes into its rational blowdown along a copy of the configuration C 2 C_2 . We exhibit examples of such rational blowdowns of Lefschetz fibrations whose blowup is homeomorphic but not diffeomorphic to the original fibration.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/2010-138-03/S0002-9939-09-10128-4/S0002-9939-09-10128-4.pdf

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