ISBN: 9780691025322

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… mais…

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. | An Extension of Casson's Invariant. (AM-126) Volume 126 by Kevin Walker Paperback | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics > Geometry & Topology P10117, Kevin Walker<

ISBN: 9780691025322

by Kevin Walker, PRINT ISBN: 9780691025322 E-TEXT ISBN: 9781400882465 Additional ISBNs: 0691087660, 0691025320, 9780691087665, 9780691025322 Princeton University Press eBook Other pricing… mais…

by Kevin Walker, PRINT ISBN: 9780691025322 E-TEXT ISBN: 9781400882465 Additional ISBNs: 0691087660, 0691025320, 9780691087665, 9780691025322 Princeton University Press eBook Other pricing structure might be available at vitalsource.com., Princeton University Press<

ISBN: 9780691025322

Paperback, [PU: Princeton University Press], Describes an invariant, l, of oriented rational homology 3-spheres which is a generalization of work of Andrew Casson in the integer homology … mais…

Paperback, [PU: Princeton University Press], 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., Applied Mathematics<

ISBN: 9780691025322

An Extension of Casson's Invariant Paperback New Books, Princeton Univ Pr

ISBN: 9780691025322

paperback, [PU: Princeton University Press]