By Liviu I. Nicolaescu
This is a state of the art creation to the paintings of Franz Reidemeister, Meng Taubes, Turaev, and the writer at the proposal of torsion and its generalizations. Torsion is the oldest topological (but no longer with admire to homotopy) invariant that during its nearly 8 many years of lifestyles has been on the middle of many vital and spectacular discoveries. up to now decade, within the paintings of Vladimir Turaev, new issues of view have emerged, which became out to be the "right ones" so far as gauge idea is concerned.
The booklet positive factors quite often the recent facets of this venerable suggestion. The theoretical foundations of this topic are provided in a method obtainable to these, who desire to study and comprehend the most principles of the speculation. specific emphasis is upon the numerous and particularly different concrete examples and methods which seize the subleties of the idea higher than any summary normal consequence. lots of those examples and strategies by no means seemed in print earlier than, and their selection is usually justified by means of ongoing present examine at the topology of floor singularities.
The textual content is addressed to mathematicians with geometric pursuits who are looking to develop into cozy clients of this flexible invariant.
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