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Floer Homology Groups in Yang-Mills Theory ICM Edition

Floer Homology Groups in Yang-Mills Theory ICM Edition PDF Author: Donaldson
Publisher:
ISBN: 9780521170291
Category :
Languages : en
Pages :

Book Description


Floer Homology Groups in Yang-Mills Theory ICM Edition

Floer Homology Groups in Yang-Mills Theory ICM Edition PDF Author: Donaldson
Publisher:
ISBN: 9780521170291
Category :
Languages : en
Pages :

Book Description


Floer Homology Groups in Yang-Mills Theory

Floer Homology Groups in Yang-Mills Theory PDF Author: S. K. Donaldson
Publisher: Cambridge University Press
ISBN: 9780521808033
Category : Mathematics
Languages : en
Pages : 246

Book Description
This monograph gives a thorough exposition of Floer's seminal work during the 1980s from a contemporary viewpoint. The material contained here was developed with specific applications in mind. However, it has now become clear that the techniques used are important for many current areas of research. An important example would be symplectic theory and gluing problems for self-dual metrics and other metrics with special holonomy. The author writes with the big picture constantly in mind. As well as a review of the current state of knowledge, there are sections on the likely direction of future research. Included in this are connections between Floer groups and the celebrated Seiberg-Witten invariants. The results described in this volume form part of the area known as Donaldson theory. The significance of this work is such that the author was awarded the prestigious Fields Medal for his contribution.

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes)

Proceedings Of The International Congress Of Mathematicians 2018 (Icm 2018) (In 4 Volumes) PDF Author: Sirakov Boyan
Publisher: World Scientific
ISBN: 9813272899
Category : Mathematics
Languages : en
Pages : 5396

Book Description
The Proceedings of the ICM publishes the talks, by invited speakers, at the conference organized by the International Mathematical Union every 4 years. It covers several areas of Mathematics and it includes the Fields Medal and Nevanlinna, Gauss and Leelavati Prizes and the Chern Medal laudatios.

Handbook of Differential Geometry

Handbook of Differential Geometry PDF Author: Franki J.E. Dillen
Publisher: Elsevier
ISBN: 9780080461205
Category : Mathematics
Languages : en
Pages : 574

Book Description
In the series of volumes which together will constitute the "Handbook of Differential Geometry" we try to give a rather complete survey of the field of differential geometry. The different chapters will both deal with the basic material of differential geometry and with research results (old and recent). All chapters are written by experts in the area and contain a large bibliography. In this second volume a wide range of areas in the very broad field of differential geometry is discussed, as there are Riemannian geometry, Lorentzian geometry, Finsler geometry, symplectic geometry, contact geometry, complex geometry, Lagrange geometry and the geometry of foliations. Although this does not cover the whole of differential geometry, the reader will be provided with an overview of some its most important areas. . Written by experts and covering recent research . Extensive bibliography . Dealing with a diverse range of areas . Starting from the basics

Combinatorial Floer Homology

Combinatorial Floer Homology PDF Author: Vin de Silva
Publisher: American Mathematical Soc.
ISBN: 0821898868
Category : Mathematics
Languages : en
Pages : 114

Book Description
The authors define combinatorial Floer homology of a transverse pair of noncontractible nonisotopic embedded loops in an oriented -manifold without boundary, prove that it is invariant under isotopy, and prove that it is isomorphic to the original Lagrangian Floer homology. Their proof uses a formula for the Viterbo-Maslov index for a smooth lune in a -manifold.

Floer Homology, Gauge Theory, and Low-dimensional Topology

Floer Homology, Gauge Theory, and Low-dimensional Topology PDF Author: Clay Mathematics Institute. Summer School
Publisher:
ISBN:
Category : Floer homology
Languages : en
Pages : 297

Book Description


Geometry and Physics

Geometry and Physics PDF Author: Rui Loja Fernandes
Publisher: American Institute of Physics
ISBN:
Category : Computers
Languages : en
Pages : 236

Book Description
Lisbon, Portugal, 5-8 September 2007

Proceedings of the International Congress of Mathematicians: Invited lectures

Proceedings of the International Congress of Mathematicians: Invited lectures PDF Author: Gerd Fischer
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 904

Book Description


Atti Del ... Congresso Internazionale Dei Matematici ...

Atti Del ... Congresso Internazionale Dei Matematici ... PDF Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 904

Book Description


Monopoles and Three-Manifolds

Monopoles and Three-Manifolds PDF Author: Peter Kronheimer
Publisher:
ISBN: 9780521880220
Category : Mathematics
Languages : en
Pages : 796

Book Description
This 2007 book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten equations. Suitable for beginning graduate students and researchers in the field, this book provides a full discussion of a central part of the study of the topology of manifolds.