Naturality And Mapping Class Groups In Heegard Floer Homology
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Naturality And Mapping Class Groups In Heegard Floer Homology
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Author : András Juhász
language : en
Publisher: American Mathematical Society
Release Date : 2021-12-09
Naturality And Mapping Class Groups In Heegard Floer Homology written by András Juhász and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-09 with Mathematics categories.
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Naturality And Mapping Class Groups In Heegard Floer Homology
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Author : András Juhász
language : en
Publisher:
Release Date : 2021
Naturality And Mapping Class Groups In Heegard Floer Homology written by András Juhász and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021 with Class groups (Mathematics) categories.
Contact And Symplectic Topology
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Author : Frédéric Bourgeois
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-03-10
Contact And Symplectic Topology written by Frédéric Bourgeois 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 2014-03-10 with Science categories.
Symplectic and contact geometry naturally emerged from the mathematical description of classical physics. The discovery of new rigidity phenomena and properties satisfied by these geometric structures launched a new research field worldwide. The intense activity of many European research groups in this field is reflected by the ESF Research Networking Programme "Contact And Symplectic Topology" (CAST). The lectures of the Summer School in Nantes (June 2011) and of the CAST Summer School in Budapest (July 2012) provide a nice panorama of many aspects of the present status of contact and symplectic topology. The notes of the minicourses offer a gentle introduction to topics which have developed in an amazing speed in the recent past. These topics include 3-dimensional and higher dimensional contact topology, Fukaya categories, asymptotically holomorphic methods in contact topology, bordered Floer homology, embedded contact homology, and flexibility results for Stein manifolds.
Bordered Heegaard Floer Homology
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Author : Robert Lipshitz
language : en
Publisher:
Release Date : 2018
Bordered Heegaard Floer Homology written by Robert Lipshitz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Floer homology categories.
Characters In Low Dimensional Topology
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Author : Olivier Collin
language : en
Publisher: American Mathematical Soc.
Release Date : 2020-12-14
Characters In Low Dimensional Topology written by Olivier Collin 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 2020-12-14 with Education categories.
This volume contains the proceedings of a conference celebrating the work of Steven Boyer, held from June 2–6, 2018, at Université du Québec à Montréal, Montréal, Québec, Canada. Boyer's contributions to research in low-dimensional geometry and topology, and to the Canadian mathematical community, were recognized during the conference. The articles cover a broad range of topics related, but not limited, to the topology and geometry of 3-manifolds, properties of their fundamental groups and associated representation varieties.
Quantum Field Theory And Manifold Invariants
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Author : Daniel S. Freed
language : en
Publisher: American Mathematical Society, IAS/Park City Mathematics Institute
Release Date : 2021-12-02
Quantum Field Theory And Manifold Invariants written by Daniel S. Freed and has been published by American Mathematical Society, IAS/Park City Mathematics Institute this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-02 with Mathematics categories.
This volume contains lectures from the Graduate Summer School “Quantum Field Theory and Manifold Invariants” held at Park City Mathematics Institute 2019. The lectures span topics in topology, global analysis, and physics, and they range from introductory to cutting edge. Topics treated include mathematical gauge theory (anti-self-dual equations, Seiberg-Witten equations, Higgs bundles), classical and categorified knot invariants (Khovanov homology, Heegaard Floer homology), instanton Floer homology, invertible topological field theory, BPS states and spectral networks. This collection presents a rich blend of geometry and topology, with some theoretical physics thrown in as well, and so provides a snapshot of a vibrant and fast-moving field. Graduate students with basic preparation in topology and geometry can use this volume to learn advanced background material before being brought to the frontiers of current developments. Seasoned researchers will also benefit from the systematic presentation of exciting new advances by leaders in their fields.
Sutured Ech Is A Natural Invariant
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Author : Çağatay Kutluhan
language : en
Publisher: American Mathematical Society
Release Date : 2022-02-02
Sutured Ech Is A Natural Invariant written by Çağatay Kutluhan and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-02-02 with Mathematics categories.
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Singularities And Low Dimensional Topology
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Author : Javier Fernández de Bobadilla
language : en
Publisher: Springer Nature
Release Date : 2024-10-09
Singularities And Low Dimensional Topology written by Javier Fernández de Bobadilla and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-09 with Mathematics categories.
The special semester 'Singularities and low dimensional topology' in the Spring of 2023 at the Erdős Center (Budapest) brought together algebraic geometers and topologists to discuss and explore the strong connection between surface singularities and topological properties of three- and four-dimensional manifolds. The semester featured a Winter School (with four lecture series) and several focused weeks. This volume contains the notes of the lecture series of the Winter School and some of the lecture notes from the focused weeks. Topics covered in this collection range from algebraic geometry of complex curves, lattice homology of curve and surface singularities to novel results in smooth four-dimensional topology and grid homology, and to Seiberg-Witten homotopy theory and ‘spacification’ of knot invariants. Some of these topics are already well-documented in the literature, and the lectures aim to provide a new perspective and fresh connections. Other topics are rather new and have been covered only in research papers. We hope that this volume will be useful not only for advanced graduate students and early-stage researchers, but also for the more experienced geometers and topologists who want to be informed about the latest developments in the field.
Differential And Low Dimensional Topology
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Author : András Juhász
language : en
Publisher: Cambridge University Press
Release Date : 2023-04-20
Differential And Low Dimensional Topology written by András Juhász and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-04-20 with Mathematics categories.
A concise introduction to the most important parts of differential and low-dimensional topology for incoming graduate students.
Lectures On Symplectic Geometry
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Author : Ana Cannas da Silva
language : en
Publisher: Springer
Release Date : 2004-10-27
Lectures On Symplectic Geometry written by Ana Cannas da Silva and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-10-27 with Mathematics categories.
The goal of these notes is to provide a fast introduction to symplectic geometry for graduate students with some knowledge of differential geometry, de Rham theory and classical Lie groups. This text addresses symplectomorphisms, local forms, contact manifolds, compatible almost complex structures, Kaehler manifolds, hamiltonian mechanics, moment maps, symplectic reduction and symplectic toric manifolds. It contains guided problems, called homework, designed to complement the exposition or extend the reader's understanding. There are by now excellent references on symplectic geometry, a subset of which is in the bibliography of this book. However, the most efficient introduction to a subject is often a short elementary treatment, and these notes attempt to serve that purpose. This text provides a taste of areas of current research and will prepare the reader to explore recent papers and extensive books on symplectic geometry where the pace is much faster. For this reprint numerous corrections and clarifications have been made, and the layout has been improved.