A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture write by Francesco Lin. This book was released on 2018-10-03. A Morse-Bott Approach to Monopole Floer Homology and the Triangulation Conjecture available in PDF, EPUB and Kindle. In the present work the author generalizes the construction of monopole Floer homology due to Kronheimer and Mrowka to the case of a gradient flow with Morse-Bott singularities. Focusing then on the special case of a three-manifold equipped equipped with a structure which is isomorphic to its conjugate, the author defines the counterpart in this context of Manolescu's recent Pin(2)-equivariant Seiberg-Witten-Floer homology. In particular, the author provides an alternative approach to his disproof of the celebrated Triangulation conjecture.
Breadth in Contemporary Topology
Breadth in Contemporary Topology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Breadth in Contemporary Topology write by David T. Gay. This book was released on 2019-06-27. Breadth in Contemporary Topology available in PDF, EPUB and Kindle. This volume contains the proceedings of the 2017 Georgia International Topology Conference, held from May 22–June 2, 2017, at the University of Georgia, Athens, Georgia. The papers contained in this volume cover topics ranging from symplectic topology to classical knot theory to topology of 3- and 4-dimensional manifolds to geometric group theory. Several papers focus on open problems, while other papers present new and insightful proofs of classical results. Taken as a whole, this volume captures the spirit of the conference, both in terms of public lectures and informal conversations, and presents a sampling of some of the great new ideas generated in topology over the preceding eight years.
An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants
An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants write by Paul Feehan. This book was released on 2019-01-08. An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants available in PDF, EPUB and Kindle. The authors prove an analogue of the Kotschick–Morgan Conjecture in the context of monopoles, obtaining a formula relating the Donaldson and Seiberg–Witten invariants of smooth four-manifolds using the -monopole cobordism. The main technical difficulty in the -monopole program relating the Seiberg–Witten and Donaldson invariants has been to compute intersection pairings on links of strata of reducible monopoles, namely the moduli spaces of Seiberg–Witten monopoles lying in lower-level strata of the Uhlenbeck compactification of the moduli space of monopoles. In this monograph, the authors prove—modulo a gluing theorem which is an extension of their earlier work—that these intersection pairings can be expressed in terms of topological data and Seiberg–Witten invariants of the four-manifold. Their proofs that the -monopole cobordism yields both the Superconformal Simple Type Conjecture of Moore, Mariño, and Peradze and Witten's Conjecture in full generality for all closed, oriented, smooth four-manifolds with and odd appear in earlier works.
Automorphisms ofTwo-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane
Automorphisms ofTwo-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Automorphisms ofTwo-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane write by William Goldman. This book was released on 2019-06-10. Automorphisms ofTwo-Generator Free Groups and Spaces of Isometric Actions on the Hyperbolic Plane available in PDF, EPUB and Kindle. The automorphisms of a two-generator free group F acting on the space of orientation-preserving isometric actions of F on hyperbolic 3-space defines a dynamical system. Those actions which preserve a hyperbolic plane but not an orientation on that plane is an invariant subsystem, which reduces to an action of a group on by polynomial automorphisms preserving the cubic polynomial and an area form on the level surfaces .
Fusion of Defects
Fusion of Defects - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Fusion of Defects write by Arthur Bartels. This book was released on 2019-04-10. Fusion of Defects available in PDF, EPUB and Kindle. Conformal nets provide a mathematical model for conformal field theory. The authors define a notion of defect between conformal nets, formalizing the idea of an interaction between two conformal field theories. They introduce an operation of fusion of defects, and prove that the fusion of two defects is again a defect, provided the fusion occurs over a conformal net of finite index. There is a notion of sector (or bimodule) between two defects, and operations of horizontal and vertical fusion of such sectors. The authors' most difficult technical result is that the horizontal fusion of the vacuum sectors of two defects is isomorphic to the vacuum sector of the fused defect. Equipped with this isomorphism, they construct the basic interchange isomorphism between the horizontal fusion of two vertical fusions and the vertical fusion of two horizontal fusions of sectors.
