Více informací o knize Extension of Casson's Invariant. (AM-126), Volume 126

• Parametry knihy
• Anotace
• Oblíbené z jiného soudku

Nákupem získáte 213 bodů

Anotace knihy

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.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Algebra

• Plný název: Extension of Casson's Invariant. (AM-126), Volume 126
• Autor: Kevin Walker
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 150
• EAN: 9780691025322
• ISBN: 0691025320
• ID: 04639592
• Nakladatelství: Princeton University Press
• Hmotnost: 198 g
• Rozměry: 235 × 152 × 8 mm
• Datum vydání: 23. March 1992

Oblíbené z jiného soudku

---

---

---