The algebraic theory of Kreck surgery

Details The algebraic theory of Kreck surgery The algebraic theory of Kreck surgery

2004-04-21

arxiv.org/abs/math/0404383v1

Mathematics

Algebraic Topology

112 pages. Taken from the author's 2004 Edinburgh University doctoral thesis. See also http://www.maths.ed.ac.uk/~sixt

Scientific paper

In the 1980s Matthias Kreck developed a modified surgery theory with
obstructions in a hardly understood monoid $l_n(Z[\pi])$. This paper presents a
couple of purely algebraic tools to find out whether an element in $l_{2q}(R)$
is "elementary" i.e. whether a Kreck surgery problem leads to an $h$-cobordism
or not.

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