Combinatorial Floer Homology
DOWNLOAD
Download Combinatorial Floer Homology PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Combinatorial Floer Homology book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Combinatorial Floer Homology
DOWNLOAD
Author : Vin de Silva
language : en
Publisher: American Mathematical Soc.
Release Date : 2014-06-05
Combinatorial Floer Homology written by Vin de Silva 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 2014-06-05 with Mathematics categories.
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.
DOWNLOAD
Author :
language : en
Publisher: World Scientific
Release Date :
written by and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Grid Homology For Knots And Links
DOWNLOAD
Author : Peter S. Ozsváth
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-11-30
Grid Homology For Knots And Links written by Peter S. Ozsváth 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 2015-11-30 with Education categories.
Starting from the combinatorial point of view on knots using their grid diagrams, this book serves as an introduction to knot theory. After a brief overview of the background material in the subject, the book gives a self-contained treatment of knot Floer homology from the point of view of grid diagrams.
Bordered Heegaard Floer Homology
DOWNLOAD
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.
Quantum Field Theory And Manifold Invariants
DOWNLOAD
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.
Heegaard Floer Homology Of Certain 3 Manifolds And Cobordism Invariants
DOWNLOAD
Author : Daniel Selahi Durusoy
language : en
Publisher:
Release Date : 2008
Heegaard Floer Homology Of Certain 3 Manifolds And Cobordism Invariants written by Daniel Selahi Durusoy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Cobordism theory categories.
Singularities And Low Dimensional Topology
DOWNLOAD
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.
Braid Foliations In Low Dimensional Topology
DOWNLOAD
Author : Douglas J. LaFountain
language : en
Publisher: American Mathematical Soc.
Release Date : 2017-10-20
Braid Foliations In Low Dimensional Topology written by Douglas J. LaFountain 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 2017-10-20 with Mathematics categories.
Offers a self-contained introduction to braid foliation techniques, which is a theory developed to study knots, links and surfaces in general 3-manifolds and more specifically in contact 3-manifolds. With style and content accessible to beginning students interested in geometric topology, each chapter centres around a key theorem or theorems.
Grid Homology For Knots And Links
DOWNLOAD
Author : Peter S. Ozsváth
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-12-04
Grid Homology For Knots And Links written by Peter S. Ozsváth 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 2015-12-04 with Education categories.
Knot theory is a classical area of low-dimensional topology, directly connected with the theory of three-manifolds and smooth four-manifold topology. In recent years, the subject has undergone transformative changes thanks to its connections with a number of other mathematical disciplines, including gauge theory; representation theory and categorification; contact geometry; and the theory of pseudo-holomorphic curves. Starting from the combinatorial point of view on knots using their grid diagrams, this book serves as an introduction to knot theory, specifically as it relates to some of the above developments. After a brief overview of the background material in the subject, the book gives a self-contained treatment of knot Floer homology from the point of view of grid diagrams. Applications include computations of the unknotting number and slice genus of torus knots (asked first in the 1960s and settled in the 1990s), and tools to study variants of knot theory in the presence of a contact structure. Additional topics are presented to prepare readers for further study in holomorphic methods in low-dimensional topology, especially Heegaard Floer homology. The book could serve as a textbook for an advanced undergraduate or part of a graduate course in knot theory. Standard background material is sketched in the text and the appendices.
Applications Of Contact Geometry And Topology In Physics
DOWNLOAD
Author : Arkady L Kholodenko
language : en
Publisher: World Scientific
Release Date : 2013-05-03
Applications Of Contact Geometry And Topology In Physics written by Arkady L Kholodenko and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-03 with Mathematics categories.
Although contact geometry and topology is briefly discussed in V I Arnol'd's book “Mathematical Methods of Classical Mechanics ”(Springer-Verlag, 1989, 2nd edition), it still remains a domain of research in pure mathematics, e.g. see the recent monograph by H Geiges “An Introduction to Contact Topology” (Cambridge U Press, 2008). Some attempts to use contact geometry in physics were made in the monograph “Contact Geometry and Nonlinear Differential Equations” (Cambridge U Press, 2007). Unfortunately, even the excellent style of this monograph is not sufficient to attract the attention of the physics community to this type of problems. This book is the first serious attempt to change the existing status quo. In it we demonstrate that, in fact, all branches of theoretical physics can be rewritten in the language of contact geometry and topology: from mechanics, thermodynamics and electrodynamics to optics, gauge fields and gravity; from physics of liquid crystals to quantum mechanics and quantum computers, etc. The book is written in the style of famous Landau-Lifshitz (L-L) multivolume course in theoretical physics. This means that its readers are expected to have solid background in theoretical physics (at least at the level of the L-L course). No prior knowledge of specialized mathematics is required. All needed new mathematics is given in the context of discussed physical problems. As in the L-L course some problems/exercises are formulated along the way and, again as in the L-L course, these are always supplemented by either solutions or by hints (with exact references). Unlike the L-L course, though, some definitions, theorems, and remarks are also presented. This is done with the purpose of stimulating the interest of our readers in deeper study of subject matters discussed in the text.