Título: Stable Homotopy Around The Arf-Kervaire Invariant | ||
Autor: Snaith Victor P | Precio: $1079.35 | |
Editorial: Birkhauser | Año: 2009 | |
Tema: Matematicas, Ciencia | Edición: 1ª | |
Sinopsis | ISBN: 9783764399030 | |
This monograph describes important techniques of stable homotopy theory, both classical and brand new, applying them to the long-standing unsolved problem of the existence of framed manifolds with odd Arf-Kervaire invariant. Opening with an account of the necessary algebraic topology background, it proceeds in a quasi-historical manner to draw from the author's contributions over several decades. A new technique entitled "upper triangular technology" is introduced which enables the author to relate Adams operations to Steenrod operations and thereby to recover most of the important classical Arf-Kervaire invariant results quite simply. The final chapter briefly relates the book to the contemporary motivic stable homotopy theory of Morel-Voevodsky. |