1# Library to Find Best eBook for Read
Author : Divya Sukumaran Nair
Release : 2012
Genre : Electronic books
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Combinatorial Knot Floer Homology by : Divya Sukumaran Nair
Download or read book Combinatorial Knot Floer Homology written by Divya Sukumaran Nair. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter S. Ozsváth
Release : 2015-12-04
Genre : Education
Kind : eBook
Book Rating : 375/5 ( reviews)
Book Synopsis Grid Homology for Knots and Links by : Peter S. Ozsváth
Download or read book Grid Homology for Knots and Links written by Peter S. Ozsváth. This book was released on 2015-12-04. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Matthew Graham
Release : 2012
Genre : Homology theory
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Studying Surfaces in 4-dimensional Space Using Combinatorial Knot Floer Homology by : Matthew Graham
Download or read book Studying Surfaces in 4-dimensional Space Using Combinatorial Knot Floer Homology written by Matthew Graham. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Peter Steven Ozsvâath
Release : 2015
Genre : MATHEMATICS
Kind : eBook
Book Rating : 399/5 ( reviews)
Book Synopsis Grid Homology for Knots and Links by : Peter Steven Ozsvâath
Download or read book Grid Homology for Knots and Links written by Peter Steven Ozsvâath. This book was released on 2015. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Peter S. Ozsvath
Release : 2017-01-19
Genre : Education
Kind : eBook
Book Rating : 423/5 ( reviews)
Book Synopsis Grid Homology for Knots and Links by : Peter S. Ozsvath
Download or read book Grid Homology for Knots and Links written by Peter S. Ozsvath. This book was released on 2017-01-19. Available in PDF, EPUB and Kindle. Book excerpt: 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.
