WorldCat Identities

Saveliev, Nikolai 1966-

Works: 4 works in 15 publications in 2 languages and 650 library holdings
Roles: Author
Classifications: QA613.2, 514.34
Publication Timeline
Most widely held works by Nikolai Saveliev
Lectures on the Topology of 3-Manifolds an Introduction to the Casson Invariant by Nikolai Saveliev( Book )
10 editions published between 1999 and 2012 in English and German and held by 424 WorldCat member libraries worldwide
"Progress in low-dimensional topology has been very fast in the last two decades, leading to the solutions of many difficult problems." "Among the highlights of this period are Casson's results on the Rohlin invariant of homotopy 3-spheres, as well as his [lambda]-invariant. The purpose of this book is to provide a much-needed bridge to these modern topics. The book covers some classical topics, such as Heegaard splittings, Dehn surgery, and invariants of knots and links. It proceeds through the Kirby calculus and Rohlin's theorem to Casson's invariant and its applications, and gives a brief sketch of links with the latest developments in low-dimensional topology and gauge theory." "The text will be accessible to graduate students in mathematics and theoretical physics familiar with some elementary algebraic topology, including the fundamental group, basic homology theory, and Poincare duality on manifolds."--BOOK JACKET
Invariants for homology 3-spheres by Nikolai Saveliev( Book )
1 edition published in 2002 in English and held by 219 WorldCat member libraries worldwide
Homology 3-sphere is a closed 3-dimensional manifold whose homology equals that of the 3-sphere. These objects may look rather special but they have played an outstanding role in geometric topology for the past fifty years. The book gives a systematic exposition of diverse ideas and methods in the area, from algebraic topology of manifolds to invariants arising from quantum field theories. The main topics covered in the book are constructions and classification of homology 3-spheres, Rokhlin invariant, Casson invariant and its numerous extensions, including invariants of Walker and Lescop, Herald and Lin invariants of knots, and equivariant Casson invariants, followed by Floer homology and gauge-theoretical invariants of homology cobordism. Many of the topics covered in the book appear in monograph form for the first time. The book gives a rather broad overview of ideas and methods and provides a comprehensive bibliography. It will be appealing to both graduate students and researchers in mathematics and theoretical physics
Low-dimensional topology ( Book )
in English and held by 6 WorldCat member libraries worldwide
Invariants of Homology 3-Spheres by Nikolai Saveliev( Book )
1 edition published in 2010 in English and held by 1 WorldCat member library worldwide
Audience Level
Audience Level
  Kids General Special  
Audience level: 0.65 (from 0.00 for Invariants ... to 0.87 for Invariants ...)
Alternative Names
Savelʹev, Nikolaĭ 1966-
English (14)
German (1)