English

The algebraic theory of Kreck surgery

Algebraic Topology 2007-05-23 v1

Abstract

In the 1980s Matthias Kreck developed a modified surgery theory with obstructions in a hardly understood monoid ln(Z[π])l_n(Z[\pi]). This paper presents a couple of purely algebraic tools to find out whether an element in l2q(R)l_{2q}(R) is "elementary" i.e. whether a Kreck surgery problem leads to an hh-cobordism or not.

Cite

@article{arxiv.math/0404383,
  title  = {The algebraic theory of Kreck surgery},
  author = {Jörg Sixt},
  journal= {arXiv preprint arXiv:math/0404383},
  year   = {2007}
}

Comments

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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