Click Here to Download: https://ouo.io/S8dESq An Extension of Casson's Invariant. (AM-126), Volume 126 By: Kevin Walker Publisher: Princeton University Press Print ISBN: 9780691087665, 0691087660 eText ISBN: 9781400882465, 140088246X Copyright year: 1992 Format: PDF Available from $ 67.50 USD SKU 9781400882465 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. Additional ISBNs 9780691087665, 9780691025322, 0691087660, 0691025320, 9780691025322
