The algebraic theory of Kreck surgery

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In the 1980s Matthias Kreck developed a modified surgery theory with obstructions in a hardly understood monoid $l_n(Z[π])$. 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.
112 pages. Taken from the author's 2004 Edinburgh University doctoral thesis. See also http://www.maths.ed.ac.uk/~sixt

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