An So3 Monopole Cobordism Formula Relating Donaldson And Seiberg Witten Invariants

Author : Paul M. N. Feehan
Publisher :
ISBN 13 : 9781470449155
Total Pages : 234 pages
Book Rating : 4.53/5 ( download)

DOWNLOAD NOW!

Download or read book An SO(3)-Monopole Cobordism Formula Relating Donaldson and Seiberg-Witten Invariants written by Paul M. N. Feehan and published by . This book was released on 2018 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: "We prove an analogue of the Kotschick-Morgan Conjecture in the context of SO(3) monopoles, obtaining a formula relating the Donaldson and Seiberg-Witten invariants of smooth four-manifolds using the SO(3)-monopole cobordism. The main technical difficulty in the SO(3)-monopole program relating the Seiberg- Witten and Donaldson invariants has been to compute intersection pairings on links of strata of reducible SO(3) monopoles, namely the moduli spaces of Seiberg- Witten monopoles lying in lower-level strata of the Uhlenbeck compactification of the moduli space of SO(3) monopoles [...]. In this monograph, we prove -- modulo a gluing theorem which is an extension of our earlier work in PU(2) monopoles. III: Existence of gluing and obstruction maps [...] that these intersection pairings can be expressed in terms of topological data and Seiberg-Witten invariants of the four-manifold. [...]--Page xi.

Author : Stefan Patrikis
Publisher : American Mathematical Soc.
ISBN 13 : 1470435403
Total Pages : 156 pages
Book Rating : 4.00/5 ( download)

DOWNLOAD NOW!

Download or read book Variations on a Theorem of Tate written by Stefan Patrikis and published by American Mathematical Soc.. This book was released on 2019-04-10 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: Let F be a number field. These notes explore Galois-theoretic, automorphic, and motivic analogues and refinements of Tate's basic result that continuous projective representations Gal(F¯¯¯¯/F)→PGLn(C) lift to GLn(C). The author takes special interest in the interaction of this result with algebraicity (for automorphic representations) and geometricity (in the sense of Fontaine-Mazur). On the motivic side, the author studies refinements and generalizations of the classical Kuga-Satake construction. Some auxiliary results touch on: possible infinity-types of algebraic automorphic representations; comparison of the automorphic and Galois “Tannakian formalisms” monodromy (independence-of-ℓ) questions for abstract Galois representations.

Author : Shmuel Weinberger
Publisher : Princeton University Press
ISBN 13 : 9780691118895
Total Pages : 204 pages
Book Rating : 4.92/5 ( download)

DOWNLOAD NOW!

Download or read book Computers, Rigidity, and Moduli written by Shmuel Weinberger and published by Princeton University Press. This book was released on 2005 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is the first to present a new area of mathematical research that combines topology, geometry, and logic. Shmuel Weinberger seeks to explain and illustrate the implications of the general principle, first emphasized by Alex Nabutovsky, that logical complexity engenders geometric complexity. He provides applications to the problem of closed geodesics, the theory of submanifolds, and the structure of the moduli space of isometry classes of Riemannian metrics with curvature bounds on a given manifold. Ultimately, geometric complexity of a moduli space forces functions defined on that space to have many critical points, and new results about the existence of extrema or equilibria follow. The main sort of algorithmic problem that arises is recognition: is the presented object equivalent to some standard one? If it is difficult to determine whether the problem is solvable, then the original object has doppelgängers--that is, other objects that are extremely difficult to distinguish from it. Many new questions emerge about the algorithmic nature of known geometric theorems, about "dichotomy problems," and about the metric entropy of moduli space. Weinberger studies them using tools from group theory, computability, differential geometry, and topology, all of which he explains before use. Since several examples are worked out, the overarching principles are set in a clear relief that goes beyond the details of any one problem.

Author : John Willard Milnor
Publisher :
ISBN 13 :
Total Pages : 326 pages
Book Rating : 4.16/5 ( download)

DOWNLOAD NOW!

Download or read book The Theory of Characteristic Classes written by John Willard Milnor and published by . This book was released on 1959 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : A. V. Zarelua
Publisher :
ISBN 13 :
Total Pages : 20 pages
Book Rating : 4.94/5 ( download)

DOWNLOAD NOW!

Download or read book The Hurewicz Theorem written by A. V. Zarelua and published by . This book was released on 1966 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Charles Nash
Publisher : Courier Corporation
ISBN 13 : 0486318362
Total Pages : 302 pages
Book Rating : 4.63/5 ( download)

DOWNLOAD NOW!

Download or read book Topology and Geometry for Physicists written by Charles Nash and published by Courier Corporation. This book was released on 2013-08-16 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory. 1983 edition.

Author : Ulrike Luise Tillmann
Publisher : Cambridge University Press
ISBN 13 : 9780521540490
Total Pages : 596 pages
Book Rating : 4.96/5 ( download)

DOWNLOAD NOW!

Download or read book Topology, Geometry and Quantum Field Theory written by Ulrike Luise Tillmann and published by Cambridge University Press. This book was released on 2004-06-28 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: The symposium held in honour of the 60th birthday of Graeme Segal brought together leading physicists and mathematicians. Its topics were centred around string theory, M-theory, and quantum gravity on the one hand, and K-theory, elliptic cohomology, quantum cohomology and string topology on the other. Geometry and quantum physics developed in parallel since the recognition of the central role of non-abelian gauge theory in elementary particle physics in the late seventies and the emerging study of super-symmetry and string theory. With its selection of survey and research articles these proceedings fulfil the dual role of reporting on developments in the field and defining directions for future research. For the first time Graeme Segal's manuscript 'The definition of Conformal Field Theory' is published, which has been greatly influential over more than ten years. An introduction by the author puts it into the present context.