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.
"synopsis" may belong to another edition of this title.
"About this title" may belong to another edition of this title.
Shipping:
FREE
Within U.S.A.
Book Description Condition: New. Book is in NEW condition. 0.49. Seller Inventory # 0691025320-2-1
Book Description Condition: New. New! This book is in the same immaculate condition as when it was published 0.49. Seller Inventory # 353-0691025320-new
Book Description Condition: New. Seller Inventory # 401887-n
Book Description Soft Cover. Condition: new. Seller Inventory # 9780691025322
Book Description Condition: New. 1992. Paperback. . . . . . Seller Inventory # V9780691025322
Book Description paperback. Condition: New. Language: ENG. Seller Inventory # 9780691025322
Book Description Condition: New. Seller Inventory # ABLIING23Feb2416190101029
Book Description Condition: New. Seller Inventory # 401887-n
Book Description Condition: New. 1992. Paperback. . . . . . Books ship from the US and Ireland. Seller Inventory # V9780691025322
Book Description Paperback / softback. Condition: New. New copy - Usually dispatched within 4 working days. Seller Inventory # B9780691025322