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 inspiration of torsion and its generalizations. Torsion is the oldest topological (but now not with appreciate to homotopy) invariant that during its nearly 8 a long time of life has been on the heart of many vital and fantastic discoveries. in the past 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 e-book positive aspects usually the recent features of this venerable thought. The theoretical foundations of this topic are offered in a method obtainable to these, who desire to examine and comprehend the most rules of the idea. specific emphasis is upon the numerous and quite different concrete examples and methods which trap the subleties of the idea greater than any summary basic outcome. a lot of those examples and strategies by no means seemed in print ahead of, and their selection is usually justified by means of ongoing present learn at the topology of floor singularities.
The textual content is addressed to mathematicians with geometric pursuits who are looking to turn into cozy clients of this flexible invariant.