WorldCat Identities

Saveliev, Nikolai

Overview
Works: 16 works in 61 publications in 3 languages and 1,864 library holdings
Genres: Biography 
Roles: Author
Classifications: QA613.2, 514.3
Publication Timeline
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Most widely held works by Nikolai Saveliev
Invariants for homology 3-spheres by Nikolai Saveliev( Book )

10 editions published in 2002 in English and held by 284 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
Lectures on the topology of 3-manifolds : an introduction to the Casson invariant by Nikolai Saveliev( Book )

25 editions published between 1999 and 2014 in English and German and held by 277 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."--Jacket
Low-dimensional topology( Book )

5 editions published between 2002 and 2004 in English and held by 8 WorldCat member libraries worldwide

Boĭ bez pravil by Nikolai Saveliev( Book )

3 editions published in 2001 in Russian and held by 4 WorldCat member libraries worldwide

Low-dimensional topology. Invariants for homology 3-spheres( Book )

2 editions published in 2002 in English and held by 3 WorldCat member libraries worldwide

Kniga Pami︠a︡ti : veterany voĭny i truzheniki tyla Khabarovskogo gosudarstvennogo tekhnicheskogo universiteta( Book )

1 edition published in 2005 in Russian and held by 3 WorldCat member libraries worldwide

Low-dimensional topology. Surfaces in 4-space( Book )

2 editions published in 2004 in English and held by 3 WorldCat member libraries worldwide

Low-dimensional topology. Graphs on surfaces and their applications( Book )

2 editions published in 2004 in English and held by 3 WorldCat member libraries worldwide

An involution permuting Floer homology by Nikolai Saveliev( )

2 editions published in 1999 in English and held by 2 WorldCat member libraries worldwide

A surgery formula for the [̄my]-invariant by Nikolai Saveliev( )

2 editions published in 1998 in English and held by 2 WorldCat member libraries worldwide

Encyclopaedia of mathematical sciences( Book )

1 edition published in 2002 in English and held by 1 WorldCat member library 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

Algebraic topology - old and new M. M. Postnikov memorial conference, Bȩdlewo, Poland, June 18-24, 2007 by Marek Golasiński( Book )

1 edition published in 2009 in English and held by 1 WorldCat member library worldwide

Fukumoto-Furuta invariants of plumbed homology 3-spheres by Nikolai Saveliev( )

2 editions published in 2000 in English and held by 1 WorldCat member library worldwide

On the homology cobordism group of homology 3-spheres by Nikolai Saveliev( Book )

1 edition published in 1996 in English and held by 0 WorldCat member libraries worldwide

Floer homology of Brieskorn homology spheres : solution to Atiyah's problem by Nikolai Saveliev( Book )

1 edition published in 1997 in English and held by 0 WorldCat member libraries worldwide

 
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Invariants for homology 3-spheresLow-dimensional topology. Invariants for homology 3-spheresEncyclopaedia of mathematical sciences
Alternative Names
Savelʹev, Nikolaĭ 1966-

Languages
Covers
Lectures on the topology of 3-manifolds : an introduction to the Casson invariantLow-dimensional topologyLow-dimensional topology. Invariants for homology 3-spheresLow-dimensional topology. Surfaces in 4-spaceLow-dimensional topology. Graphs on surfaces and their applicationsEncyclopaedia of mathematical sciences