Author: K. Johannson
Publisher: Springer
ISBN: 3540384863
Category : Mathematics
Languages : en
Pages : 312

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Book Description

Author: Richard Douglas Canary
Publisher: American Mathematical Soc.
ISBN: 0821835491
Category : Mathematics
Languages : en
Pages : 238

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Book Description
Three volume narrative history of 20th century.

Author: Hans U. Boden
Publisher: American Mathematical Soc.
ISBN: 0821837249
Category : Mathematics
Languages : en
Pages : 362

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Book Description
This book contains expository papers that give an up-to-date account of recent developments and open problems in the geometry and topology of manifolds, along with several research articles that present new results appearing in published form for the first time. The unifying theme is the problem of understanding manifolds in low dimensions, notably in dimensions three and four, and the techniques include algebraic topology, surgery theory, Donaldson and Seiberg-Witten gauge theory,Heegaard Floer homology, contact and symplectic geometry, and Gromov-Witten invariants. The articles collected for this volume were contributed by participants of the Conference "Geometry and Topology of Manifolds" held at McMaster University on May 14-18, 2004 and are representative of the manyexcellent talks delivered at the conference.

Author: Matthew G. Brin
Publisher: American Mathematical Soc.
ISBN: 0821824740
Category : Homotopy theory
Languages : en
Pages : 86

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Book Description
This paper continues a series by the authors on non-compact 3-manifolds. We describe the structure, up to end homeomorphism, of those orientable, non-compact 3-manifolds in which all loops near infinity [symbol] homotop to infinity [symbol] while staying near infinity [symbol] (the proper homotopy condition "end 1-movability" of the title). This extends previous work by others and by the authors because end 1-movability is weaker than properties studied before, and also because our result is the first to analyse a class of non-compact 3-manifolds whose defining properties include neither irreducibilty nor compact boundary. Our main tool is the end reduction--introduced in our earlier papers, developed further. End reductions are "simple" approximations of a non-compact 3-manifold that capture many of the manifold's properties.

Author: Ken’ichi Ohshika
Publisher: Springer Nature
ISBN: 3031435028
Category :
Languages : en
Pages : 456

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Book Description

Author: William Abikoff
Publisher: American Mathematical Soc.
ISBN: 0821836072
Category : Mathematics
Languages : en
Pages : 364

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Book Description
Contains proceedings that reflects the 2001 Ahlfors-Bers Colloquium held at the University of Connecticut (Storrs). This book is suitable for graduate students and researchers interested in complex analysis.

Author: R. James Milgram
Publisher: American Mathematical Soc.
ISBN: 0821814338
Category : Mathematics
Languages : en
Pages : 330

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Book Description
Contains sections on Structure of topological manifolds, Low dimensional manifolds, Geometry of differential manifolds and algebraic varieties, $H$-spaces, loop spaces and $CW$ complexes, Problems.

Author: Wolfgang Lück
Publisher: Springer Science & Business Media
ISBN: 3662046873
Category : Mathematics
Languages : en
Pages : 604

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Book Description
In algebraic topology some classical invariants - such as Betti numbers and Reidemeister torsion - are defined for compact spaces and finite group actions. They can be generalized using von Neumann algebras and their traces, and applied also to non-compact spaces and infinite groups. These new L2-invariants contain very interesting and novel information and can be applied to problems arising in topology, K-Theory, differential geometry, non-commutative geometry and spectral theory. The book, written in an accessible manner, presents a comprehensive introduction to this area of research, as well as its most recent results and developments.

Author: Sungbok Hong
Publisher: Springer
ISBN: 364231564X
Category : Mathematics
Languages : en
Pages : 163

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Book Description
This work concerns the diffeomorphism groups of 3-manifolds, in particular of elliptic 3-manifolds. These are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature, now known to be exactly the closed 3-manifolds that have a finite fundamental group. The (Generalized) Smale Conjecture asserts that for any elliptic 3-manifold M, the inclusion from the isometry group of M to its diffeomorphism group is a homotopy equivalence. The original Smale Conjecture, for the 3-sphere, was proven by J. Cerf and A. Hatcher, and N. Ivanov proved the generalized conjecture for many of the elliptic 3-manifolds that contain a geometrically incompressible Klein bottle. The main results establish the Smale Conjecture for all elliptic 3-manifolds containing geometrically incompressible Klein bottles, and for all lens spaces L(m,q) with m at least 3. Additional results imply that for a Haken Seifert-fibered 3 manifold V, the space of Seifert fiberings has contractible components, and apart from a small list of known exceptions, is contractible. Considerable foundational and background

Author: Danny Calegari
Publisher: Oxford University Press on Demand
ISBN: 0198570082
Category : Mathematics
Languages : en
Pages : 378

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Book Description
This unique reference, aimed at research topologists, gives an exposition of the 'pseudo-Anosov' theory of foliations of 3-manifolds. This theory generalizes Thurston's theory of surface automorphisms and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions. Significant themes returned to throughout the text include the importance of geometry, especially the hyperbolic geometry of surfaces, the importance of monotonicity, especially in1-dimensional and co-dimensional dynamics, and combinatorial approximation, using finite combinatorical objects such as train-tracks, branched surfaces and hierarchies to carry more complicated continuous objects.