SULJE VALIKKO

Englanninkielisten kirjojen poikkeusaikata... LUE LISÄÄ

avaa valikko

Braid and Knot Theory in Dimension Four
133,30 €
American Mathematical Society
Sivumäärä: 305 sivua
Asu: Kovakantinen kirja
Julkaisuvuosi: 2002, 30.05.2002 (lisätietoa)
Kieli: Englanti
Braid theory and knot theory are related via two famous results due to Alexander and Markov. Alexander's theorem states that any knot or link can be put into braid form. Markov's theorem gives necessary and sufficient conditions to conclude that two braids represent the same knot or link. Thus, one can use braid theory to study knot theory and vice versa. In this book, the author generalizes braid theory to dimension four. He develops the theory of surface braids and applies it to study surface links. In particular, the generalized Alexander and Markov theorems in dimension four are given. This book is the first to contain a complete proof of the generalized Markov theorem. Surface links are studied via the motion picture method, and some important techniques of this method are studied.For surface braids, various methods to describe them are introduced and developed: the motion picture method, the chart description, the braid monodromy, and the braid system. These tools are fundamental to understanding and computing invariants of surface braids and surface links. Included is a table of knotted surfaces with a computation of Alexander polynomials. Braid techniques are extended to represent link homotopy classes. The book is geared toward a wide audience, from graduate students to specialists. It would make a suitable text for a graduate course and a valuable resource for researchers.

Tuotetta lisätty
ostoskoriin kpl
Siirry koriin
LISÄÄ OSTOSKORIIN
Tuote on tilapäisesti loppunut ja sen saatavuus on epävarma. Seuraa saatavuutta.
Myymäläsaatavuus
Helsinki
Tapiola
Turku
Tampere
Braid and Knot Theory in Dimension Four
Näytä kaikki tuotetiedot
ISBN:
9780821829691
Sisäänkirjautuminen
Kirjaudu sisään
Rekisteröityminen
Oma tili
Omat tiedot
Omat tilaukset
Omat laskut
Lisätietoja
Asiakaspalvelu
Tietoa verkkokaupasta
Toimitusehdot
Tietosuojaseloste