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Nordic Conference on Topology and its Applications (NORDTOP2001)
August 7-9, 2001
Sophus Lie Conference Centre
Nordfjordeid, Norway

Organizers
Peter Collins, Bjoern Jahren, Dusan Repovs, Stephen Watson

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Problems and results in low-dimensional surgery theory
by
Bjørn Jahren
University of Oslo, Norway

In dimensions at least five, the main results of surgery theory can be summarized in the exactness of the so-called surgery sequence. The situation in dimensions 3 and 4 is more subtle, and there are many unsolved problems. However, there are weaker versions, and especially in dimension 3 the sequence has the advantage of having a more explicit algebraic structure and of being almost completely computable. These computations then turn out to have consequences for problems in higher dimensions.

Date received: June 2, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagf-09.