Symplectic Topology And Floer Homology Volume 2 Floer Homology And Its Applications
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Author | : Yong-Geun Oh |
Publisher | : Cambridge University Press |
Total Pages | : 471 |
Release | : 2015-08-27 |
Genre | : Mathematics |
ISBN | : 1316381390 |
Download Symplectic Topology and Floer Homology: Volume 2, Floer Homology and its Applications Book in PDF, Epub and Kindle
Published in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 2 provides a comprehensive introduction to both Hamiltonian Floer theory and Lagrangian Floer theory, including many examples of their applications to various problems in symplectic topology. The first volume covered the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov's pseudoholomorphic curve theory. Symplectic Topology and Floer Homology is a comprehensive resource suitable for experts and newcomers alike.
Author | : Yong-Geun Oh |
Publisher | : Cambridge University Press |
Total Pages | : 471 |
Release | : 2015-08-27 |
Genre | : Mathematics |
ISBN | : 1107109671 |
Download Symplectic Topology and Floer Homology Book in PDF, Epub and Kindle
The second part of a two-volume set offering a systematic explanation of symplectic topology. This volume provides a comprehensive introduction to Hamiltonian and Lagrangian Floer theory.
Author | : Yong-Geun Oh |
Publisher | : |
Total Pages | : 446 |
Release | : 2015 |
Genre | : Floer homology |
ISBN | : 9781316271889 |
Download Symplectic Topology and Floer Homology Book in PDF, Epub and Kindle
Author | : Yong-Geun Oh |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2015-08-27 |
Genre | : Mathematics |
ISBN | : 9781107109674 |
Download Symplectic Topology and Floer Homology: Volume 2, Floer Homology and its Applications Book in PDF, Epub and Kindle
Published in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 2 provides a comprehensive introduction to both Hamiltonian Floer theory and Lagrangian Floer theory, including many examples of their applications to various problems in symplectic topology. The first volume covered the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov's pseudoholomorphic curve theory. Symplectic Topology and Floer Homology is a comprehensive resource suitable for experts and newcomers alike.
Author | : |
Publisher | : |
Total Pages | : |
Release | : 2015 |
Genre | : |
ISBN | : 9781107420892 |
Download Symplectic Topology and Floer Homology; Book in PDF, Epub and Kindle
Author | : S. K. Donaldson |
Publisher | : Cambridge University Press |
Total Pages | : 254 |
Release | : 2002-01-10 |
Genre | : Mathematics |
ISBN | : 9781139432603 |
Download Floer Homology Groups in Yang-Mills Theory Book in PDF, Epub and Kindle
The concept of Floer homology was one of the most striking developments in differential geometry. It yields rigorously defined invariants which can be viewed as homology groups of infinite-dimensional cycles. The ideas led to great advances in the areas of low-dimensional topology and symplectic geometry and are intimately related to developments in Quantum Field Theory. The first half of this book gives a thorough account of Floer's construction in the context of gauge theory over 3 and 4-dimensional manifolds. The second half works out some further technical developments of the theory, and the final chapter outlines some research developments for the future - including a discussion of the appearance of modular forms in the theory. The scope of the material in this book means that it will appeal to graduate students as well as those on the frontiers of the subject.
Author | : Vin de Silva |
Publisher | : American Mathematical Soc. |
Total Pages | : 126 |
Release | : 2014-06-05 |
Genre | : Mathematics |
ISBN | : 0821898868 |
Download Combinatorial Floer Homology Book in PDF, Epub and Kindle
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.
Author | : Robert Lipshitz |
Publisher | : American Mathematical Soc. |
Total Pages | : 294 |
Release | : 2018-08-09 |
Genre | : Mathematics |
ISBN | : 1470428881 |
Download Bordered Heegaard Floer Homology Book in PDF, Epub and Kindle
The authors construct Heegaard Floer theory for 3-manifolds with connected boundary. The theory associates to an oriented, parametrized two-manifold a differential graded algebra. For a three-manifold with parametrized boundary, the invariant comes in two different versions, one of which (type D) is a module over the algebra and the other of which (type A) is an A∞ module. Both are well-defined up to chain homotopy equivalence. For a decomposition of a 3-manifold into two pieces, the A∞ tensor product of the type D module of one piece and the type A module from the other piece is ^HF of the glued manifold. As a special case of the construction, the authors specialize to the case of three-manifolds with torus boundary. This case can be used to give another proof of the surgery exact triangle for ^HF. The authors relate the bordered Floer homology of a three-manifold with torus boundary with the knot Floer homology of a filling.
Author | : Christopher L Douglas |
Publisher | : American Mathematical Soc. |
Total Pages | : 111 |
Release | : 2020-02-13 |
Genre | : Education |
ISBN | : 1470437716 |
Download Cornered Heegaard Floer Homology Book in PDF, Epub and Kindle
Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold, split into two pieces, can be recovered as a tensor product of the bordered invariants of the pieces. The authors construct cornered Floer homology invariants of 3-manifolds with codimension-2 corners and prove that the bordered Floer homology of a 3-manifold with boundary, split into two pieces with corners, can be recovered as a tensor product of the cornered invariants of the pieces.
Author | : Yong-Geun Oh |
Publisher | : Cambridge University Press |
Total Pages | : 421 |
Release | : 2015-08-27 |
Genre | : Mathematics |
ISBN | : 1316381145 |
Download Symplectic Topology and Floer Homology: Volume 1, Symplectic Geometry and Pseudoholomorphic Curves Book in PDF, Epub and Kindle
Published in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 1 covers the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov's pseudoholomorphic curve theory. One novel aspect of this treatment is the uniform treatment of both closed and open cases and a complete proof of the boundary regularity theorem of weak solutions of pseudo-holomorphic curves with totally real boundary conditions. Volume 2 provides a comprehensive introduction to both Hamiltonian Floer theory and Lagrangian Floer theory. Symplectic Topology and Floer Homology is a comprehensive resource suitable for experts and newcomers alike.