ISBN: 0691087660

This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. Let R(X) denote the sp… Plus…

This book describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology sphere case. Let R(X) denote the space of conjugacy classes of representations of p(X) into SU(2). Let (W,W,F) be a Heegaard splitting of a rational homology sphere M. Then l(M) is declared to be an appropriately defined intersection number of R(W) and R(W) inside R(F). The definition of this intersection number is a delicate task, as the spaces involved have singularities. A formula describing how l transforms under Dehn surgery is proved. The formula involves Alexander polynomials and Dedekind sums, and can be used to give a rather elementary proof of the existence of l. It is also shown that when M is a Z-homology sphere, l(M) determines the Rochlin invariant of M. geometry and topology,math,mathematics,science and math,science and math,textbooks,topology Mathematics, Princeton University Press<

1992, ISBN: 9780691087665

Princeton University Press, 1992. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dus… Plus…

Princeton University Press, 1992. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:0691087660, Princeton University Press, 1992, 0<

1992, ISBN: 9780691087665

Hard cover, Mathematics|Mathematics, This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. No du… Plus…

Hard cover, Mathematics|Mathematics, This is an ex-library book and may have the usual library/used-book markings inside. This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 500grams, ISBN: 0691087660. , [PU: Princeton University Press]<