The Open Book

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Floer Homology Gauge Theory And Low Dimensional Topology

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Author : Clay Mathematics Institute. Summer School
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Floer Homology Gauge Theory And Low Dimensional Topology written by Clay Mathematics Institute. Summer School and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

Mathematical gauge theory studies connections on principal bundles, or, more precisely, the solution spaces of certain partial differential equations for such connections. Historically, these equations have come from mathematical physics, and play an important role in the description of the electro-weak and strong nuclear forces. The use of gauge theory as a tool for studying topological properties of four-manifolds was pioneered by the fundamental work of Simon Donaldson in the early 1980s, and was revolutionized by the introduction of the Seiberg-Witten equations in the mid-1990s. Since the birth of the subject, it has retained its close connection with symplectic topology.The analogy between these two fields of study was further underscored by Andreas Floer's construction of an infinite-dimensional variant of Morse theory that applies in two a priori different contexts: either to define symplectic invariants for pairs of Lagrangian submanifolds of a symplectic manifold, or to define topological invariants for three-manifolds, which fit into a framework for calculating invariants for smooth four-manifolds. 'Heegaard Floer homology', the recently-discovered invariant for three- and four-manifolds, comes from an application of Lagrangian Floer homology to spaces associated to Heegaard diagrams. Although this theory is conjecturally isomorphic to Seiberg-Witten theory, it is more topological and combinatorial in flavor and thus easier to work with in certain contexts.The interaction between gauge theory, low-dimensional topology, and symplectic geometry has led to a number of striking new developments in these fields. The aim of this volume is to introduce graduate students and researchers in other fields to some of these exciting developments, with a special emphasis on the very fruitful interplay between disciplines. This volume is based on lecture courses and advanced seminars given at the 2004 Clay Mathematics Institute Summer School at the Alfred Renyi Institute of Mathematics in Budapest, Hungary. Several of the authors have added a considerable amount of additional material to that presented at the school, and the resulting volume provides a state-of-the-art introduction to current research, covering material from Heegaard Floer homology, contact geometry, smooth four-manifold topology, and symplectic four-manifolds.

Official Gazette Of The United States Patent Office

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Author : United States. Patent Office
language : en
Publisher:
Release Date : 1906

Official Gazette Of The United States Patent Office written by United States. Patent Office and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1906 with Patents categories.

Surgery On Contact 3 Manifolds And Stein Surfaces

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Author : Burak Ozbagci
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Surgery On Contact 3 Manifolds And Stein Surfaces written by Burak Ozbagci and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.

The groundbreaking results of the near past - Donaldson's result on Lef schetz pencils on symplectic manifolds and Giroux's correspondence be tween contact structures and open book decompositions - brought a top ological flavor to global symplectic and contact geometry. This topological aspect is strengthened by the existing results of Weinstein and Eliashberg (and Gompf in dimension 4) on handle attachment in the symplectic and Stein category, and by Giroux's theory of convex surfaces, enabling us to perform surgeries on contact 3-manifolds. The main objective of these notes is to provide a self-contained introduction to the theory of surgeries one can perform on contact 3-manifolds and Stein surfaces. We will adopt a very topological point of view based on handlebody theory, in particular, on Kirby calculus for 3- and 4-dimensionalmanifolds. Surgery is a constructive method by its very nature. Applying it in an intricate way one can see what can be done. These results are nicely com plemented by the results relying on gauge theory - a theory designed to prove that certain things cannot be done. We will freely apply recent results of gauge theory without a detailed introduction to these topics; we will be content with a short introduction to some forms of Seiberg-Witten theory and some discussions regarding Heegaard Floer theory in two Appendices.

Local Economic And Employment Development Leed Better Use Of Skills In The Workplace Why It Matters For Productivity And Local Jobs

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Author : OECD
language : en
Publisher: OECD Publishing
Release Date : 2017-11-02

Local Economic And Employment Development Leed Better Use Of Skills In The Workplace Why It Matters For Productivity And Local Jobs written by OECD and has been published by OECD Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-02 with categories.

This joint OECD-ILO report provides a comparative analysis of case studies focusing on improving skills use in the workplace across eight countries.

International Health And Safety At Work

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Author : Phil Hughes
language : en
Publisher: Taylor & Francis
Release Date : 2021-11-29

International Health And Safety At Work written by Phil Hughes and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-29 with Technology & Engineering categories.

International Health and Safety at Work has been specially written in simple English for the thousands of students who complete the NEBOSH International General Certificate in Health and Safety each year. Fully revised in alignment with the 2019 syllabus, this fourth edition provides students with all they need to tackle the course with confidence. Clear, easily accessible information is presented in full colour, with discussion of essential principles such as ILO and OSH conventions as well as legal frameworks from a range of countries. The book features practice questions and answers to test knowledge and increase understanding. International Health and Safety at Work remains the most effective tool for those working to fit international health and safety standards to local needs and practice.

The Day Will Come

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Author : Mary Elizabeth Braddon
language : en
Publisher:
Release Date : 1889

The Day Will Come written by Mary Elizabeth Braddon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1889 with categories.

The Concluding Books Also Letters From Switzerland And Travels In Italy

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Author : Johann Wolfgang von Goethe
language : en
Publisher:
Release Date : 1874

The Concluding Books Also Letters From Switzerland And Travels In Italy written by Johann Wolfgang von Goethe and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1874 with Authors, German categories.

A Book For All Readers Designed As An Aid To The Collection Use And Preservation Of Books

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Author : Ainsworth Rand Spofford
language : en
Publisher:
Release Date : 1900

A Book For All Readers Designed As An Aid To The Collection Use And Preservation Of Books written by Ainsworth Rand Spofford and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1900 with categories.

The Practical Magazine

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Author :
language : en
Publisher:
Release Date : 1874

The Practical Magazine written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1874 with Industrial arts categories.

Catalogue Of Books Maps Plates On America And Of A Remarkable Collection Of Early Voyages Offered For Sale By Frederik Muller At Amsterdam

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Author : Frederik Muller
language : en
Publisher:
Release Date : 1874

Catalogue Of Books Maps Plates On America And Of A Remarkable Collection Of Early Voyages Offered For Sale By Frederik Muller At Amsterdam written by Frederik Muller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1874 with America categories.