Knot Theory: Second Edition
暫譯: 結繩理論:第二版

Manturov, Vassily Olegovich

  • 出版商: CRC
  • 出版日期: 2020-09-30
  • 售價: $2,460
  • 貴賓價: 9.5$2,337
  • 語言: 英文
  • 頁數: 560
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 0367657295
  • ISBN-13: 9780367657291
  • 海外代購書籍(需單獨結帳)

相關主題

商品描述

Over the last fifteen years, the face of knot theory has changed due to various new theories and invariants coming from physics, topology, combinatorics and alge-bra. It suffices to mention the great progress in knot homology theory (Khovanov homology and Ozsvath-Szabo Heegaard-Floer homology), the A-polynomial which give rise to strong invariants of knots and 3-manifolds, in particular, many new unknot detectors. New to this Edition is a discussion of Heegaard-Floer homology theory and A-polynomial of classical links, as well as updates throughout the text.



Knot Theory, Second Edition is notable not only for its expert presentation of knot theory's state of the art but also for its accessibility. It is valuable as a profes-sional reference and will serve equally well as a text for a course on knot theory.

商品描述(中文翻譯)

在過去的十五年中,結理論的面貌因來自物理學、拓撲學、組合數學和代數的新理論及不變量而發生了變化。值得一提的是結同調理論(Khovanov 同調和 Ozsvath-Szabo Heegaard-Floer 同調)的重大進展,以及產生強不變量的 A-多項式,特別是許多新的無結檢測器。本版新增了對經典鏈結的 Heegaard-Floer 同調理論和 A-多項式的討論,並在整個文本中進行了更新。

《結理論,第二版》不僅因其對結理論最前沿的專業呈現而引人注目,也因其可讀性而受到重視。它作為專業參考資料非常有價值,同樣適合作為結理論課程的教材。

作者簡介

Vassily Olegovich Manturov is professor of Geometry and Topology at Bauman Moscow State Technical University.

作者簡介(中文翻譯)

瓦西里·奧列戈維奇·曼圖羅夫是莫斯科巴馬科技大學的幾何學與拓撲學教授。