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On diffeomorphisms over surfaces trivially embedded in the 4-sphere

Susumu Hirose

Published 2002-11-01Version 1

A surface in the 4-sphere is trivially embedded, if it bounds a 3-dimensional handle body in the 4-sphere. For a surface trivially embedded in the 4-sphere, a diffeomorphism over this surface is extensible if and only if this preserves the Rokhlin quadratic form of this embedded surface.

Comments: Published by Algebraic and Geometric Topology at http://www.maths.warwick.ac.uk/agt/AGTVol2/agt-2-33.abs.html
Journal: Algebr. Geom. Topol. 2 (2002) 791-824
Categories: math.GT
Subjects: 57N10, 57N05, 20F38
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