Geometry of Low-Dimensional Manifolds: Volume 1, Gauge Theory and Algebraic Surfaces

Geometry of Low-Dimensional Manifolds: Volume 1, Gauge Theory and Algebraic Surfaces PDF

Author: S. K. Donaldson

Publisher: Cambridge University Press

Published: 1991-01-24

Total Pages: 276

ISBN-13: 9780521399784

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These volumes are based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has been one of intense research recently, with major breakthroughs that have illuminated the way a number of different subjects (topology, differential and algebraic geometry and mathematical physics) interact.

Geometry of Low-Dimensional Manifolds

Geometry of Low-Dimensional Manifolds PDF

Author: S. K. Donaldson

Publisher:

Published: 2014-05-14

Total Pages: 274

ISBN-13: 9781107361676

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These volumes are based on lecture courses and seminars given at the LMS Durham Symposium on the geometry of low-dimensional manifolds. This area has been one of intense research recently, with major breakthroughs that have illuminated the way a number of different subjects (topology, differential and algebraic geometry and mathematical physics) interact.

Algebraic Topology and Its Applications

Algebraic Topology and Its Applications PDF

Author: Gunnar E. Carlsson

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 271

ISBN-13: 1461395267

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In 1989-90 the Mathematical Sciences Research Institute conducted a program on Algebraic Topology and its Applications. The main areas of concentration were homotopy theory, K-theory, and applications to geometric topology, gauge theory, and moduli spaces. Workshops were conducted in these three areas. This volume consists of invited, expository articles on the topics studied during this program. They describe recent advances and point to possible new directions. They should prove to be useful references for researchers in Algebraic Topology and related fields, as well as to graduate students.

Introduction to Symplectic Topology

Introduction to Symplectic Topology PDF

Author: Dusa McDuff

Publisher: Oxford University Press

Published: 2017-03-16

Total Pages: 632

ISBN-13: 0192514016

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Over the last number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results. The first edition of Introduction to Symplectic Topology was published in 1995. The book was the first comprehensive introduction to the subject and became a key text in the area. A significantly revised second edition was published in 1998 introducing new sections and updates on the fast-developing area. This new third edition includes updates and new material to bring the book right up-to-date.

Geometry and Topology of Manifolds

Geometry and Topology of Manifolds PDF

Author: Hans U. Boden

Publisher: American Mathematical Soc.

Published: 2005

Total Pages: 362

ISBN-13: 0821837249

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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.

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