Lp2s moduli spaces on 4-manifolds with cylindrical ends

by Clifford Taubes

Publisher: International Press in Boston

Written in English
Published: Pages: 205 Downloads: 381
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Subjects:

  • Moduli theory.,
  • Four-manifolds (Topology)

Edition Notes

Includes bibliographical references (p. 203-205).

StatementClifford Henry Taubes.
SeriesMonographs in geometry and topology -- v. 1
Classifications
LC ClassificationsQA564 .T38 1993
The Physical Object
Pagination205 p. ;
Number of Pages205
ID Numbers
Open LibraryOL20998374M
ISBN 101571460071

Muñoz’s characterization of the structure of a Up2q-instanton Floer homology group associated to the 3-manifold S1 where is a Riemann surface [74]. Muñoz’s work borrows some results about the cohomology ring of the moduli space of rank 2 stable bundles [87, 49, 79, 5], which are not available for higher values of the rank. We construct a distance on the moduli space of symplectic toric manifolds of dimension four. Then we study some basic topological properties of this space, in particular, path-connectedness, compactness, and completeness. The construction of the distance is related to the Duistermaat-Heckman measure and the Hausdorff metric. While the moduli space, its topology and metric, may be constructed. ing techniques for solutions of the Seiberg-Witten equations on 4-manifolds with cylindrical ends. Geometrically this corresponds to stretching the neck rather than pinching it. The analysis in the proof is also needed for the con-struction of Seiberg-Witten Floer homology (which will not be carried out in this book). Clifford Henry Taubes (born Febru ) is the William Petschek Professor of Mathematics at Harvard University and works in gauge field theory, differential geometry, and low-dimensional brother, Gary Taubes, is a science writer.

Discover Book Depository's huge selection of Clifford Taubes books online. Free delivery worldwide on over 20 million titles. R. Inanc Baykur (Max Planck Institute): Topological complexity of symplectic 4-manifolds and Stein fillings Abstract: Following the ground-breaking works of Donaldson and Giroux, Lefschetz pencils and open books have become central tools in the study of symplectic 4-manifolds and contact 3-manifolds. This book applies the recent techniques of gauge theory to study the smooth classification of compact complex surfaces. The study is divided into four main areas: Classical complex surface theory, gauge theory and Donaldson invariants, deformations of holomorphic vector bundles, and explicit calculations for elliptic sur§ faces. Made in USA 1/4" Inlet, Description: Inlet Size 1/4" Outlet Size 1/8" Number of Inlet Ports 2 Number Of Outlet Ports 10 Width (Decimal Inch) Overall Length (Decimal Inch) Height.

4. Uniqueness and moduli in the cylindrical ends case Hodge theory on ALH spaces and consequences The kernel of the linearized Einstein operator Acknowledgments References 1. Introduction Background. This paper is motivated by questions of compactness and singularity formation in sequences of Einstein metrics on 4. Amazon's Choice for propane manifold Mr. Heater F 2-Tank Hook-Up Kit with Tee and Inch Hose Assembly with P.O.L. Male Ends,Multicolored,Regular out of 5 stars Book a Room; Seminars By Month October Sunday Monday Tuesday Wednesday Thursday Friday Saturday; 1. This paper is a review of current developments in the study of moduli spaces of G2 manifolds. G2 manifolds are 7-dimensional manifolds with the exceptional holonomy group G2. Although they are odd-dimensional, in many ways they can be considered as an analogue of Calabi-Yau manifolds in .

Lp2s moduli spaces on 4-manifolds with cylindrical ends by Clifford Taubes Download PDF EPUB FB2

L² Moduli Spaces on 4-Manifolds with Cylindrical Ends (Monographs in Geometry and Topology, Vol. 1) by Clifford Henry Taubes (Author) ISBN ISBN Why is ISBN important.

ISBN. This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The digit and digit. Moduli Spaces on 4-Manifolds with Cylindrical Ends (Monographs in Geometry and Topology, Vol. 1) | Clifford Henry Taubes | download | B–OK.

Download books for free. Find books. Get this from a library. L² moduli spaces on 4-manifolds with cylindrical ends. [Clifford Taubes]. Monopoles over 4–manifolds containing long necks, I Kim A Frøyshov Fakulta¨t fu¨r Mathematik, Universit¨at Bielefeld PostfachD Bielefeld, Germany Email: [email protected] Abstract We study moduli spaces of Seiberg–Witten monopoles over spinc Riemannian 4–manifolds with long necks and/or tubular ends.

We define R by changing T4 # 3CP2 into W# @P2: R = (W#@P2\nd(L1))U,(V, #[email protected]\nd(L2)). We will use the analytical results of Morgan, Mrowka and Ruberman on moduli spaces over four-manifolds with cylindrical end, see [20].

For the sake of better understanding we summarize here the relevant dimension formulas. A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the full-text.

The approach is to study the equivariant version of the Yang-Mills instanton-one moduli space for $4$-manifolds with cylindrical ends.

L 2 moduli spaces on 4-manifolds with cylindrical ends. The world's largest ebook library. General Search; Moduli Spaces on 4-Manifolds with Cylindrical Ends (Monographs in Geometry and Topology, Vol. 1) Clifford Henry Taubes. Year: A search query can be a title of the book, a name of the author, ISBN or anything else.

Moduli Spaces Brambila-Paz L., Newstead P., Thomas R.P.W., Garcia-Prada O. (eds.) Moduli theory is the study of how objects, typically in algebraic geometry but sometimes in other areas of mathematics, vary in families and is fundamental to an understanding of the objects themselves.

ciently general case when the moduli spaces of monopoles on the separating 3-manifold are, roughly speaking, Bott nondegenerate.

Section contains preliminary material mostly about elliptic equa-tions on manifolds with cylindrical ends. Most objects on closed manifolds have cylindrical counterparts which often encode very subtle features. Vector bundles and their associated moduli spaces are of fundamental importance in algebraic geometry.

In recent decades this subject has been greatly enhanced by its relationships with other areas of mathematics, including differential geometry, topology and even theoretical physics, specifically gauge theory, quantum field theory and string theory.

In that paper the authors addressed the question of realizing a Floer complex as the cellular chain complex of a CW-spectrum or pro-spectrum, where the attaching maps are determined by the compactified moduli spaces of connecting orbits. The basic obstructions to the existence of this realization are the smoothness of thesemoduli spaces, and.

This monograph provide tools for the study of anti-self dual connections on 4-manifolds with cylindrical ends. The main concern is the local description of moduli space of finite energy anti-self-dual (ASD) connections in a principle G bundle over a 4-manifold with cylindrical end.

We survey the authors recent construction of the relative Donaldson polynomial invariants of pairsof smooth divisors in smooth surfaces,taking values in an operational algebraic Floer homology group.

We conjecture that this pair forms an algebraic Donaldson-Floer theory. C.H. Taubes, L2 moduli spaces on 4-manifolds with cylindrical ends, International Press, Hong Kong, This second edition of the book includes a new chapter on singular homology theory and a new appendix outlining Donaldson’s beautiful application of gauge theory to the topology of compact, simply connected, smooth 4-manifolds with definite intersection form.

Selected Titles in This Series 28 Liviu I. Nicolaescu, Notes on Seiberg-Witten theory, 27 J. McConnell and J. Robson, Noncommutative Noetherian rings, 26 Rolf Berndt, An introduction to symplectic geometry, 25 Thomas Friedrich, Dirac operators in Riemannian geometry, 24 Helmut Koch, Number theory: Algebraic numbers and functions, In mathematics, a 4-manifold is a 4-dimensional topological manifold.A smooth 4-manifold is a 4-manifold with a smooth dimension four, in marked contrast with lower dimensions, topological and smooth manifolds are quite different.

There exist some topological 4-manifolds which admit no smooth structure, and even if there exists a smooth structure, it need not be unique (i.e. there. The L2-Structure of Moduli spaces of Einstein Metrics on 4-Manifolds. Anderson.

Geometric and functional analysis () Volume: 2, Issue: 1, page ; ISSN: X; /e; Access Full Article top Access to full text. How to cite top. Product Information: This monograph provide tools for the study of anti-self dual connections on 4-manifolds with cylindrical ends.

The main concern is the local description of moduli space of finite energy anti-self-dual (ASD) connections in a principle G bundle over a 4-manifold with cylindrical Rating: % positive.

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Similar considerations lead to corresponding results for 1-parameter families of moduli spaces, such as when one changes perturbations or metrics.

Manifolds with a cylindrical end. The results described so far extend to study transversality issues for 4-manifolds with a single cylindrical end.

For each integer N ≥ 2, Mariño and Moore defined generalized Donaldson invariants by the methods of quantum field theory, and made predictions about the values of these uently, Kronheimer gave a rigorous definition of generalized Donaldson invariants using the moduli spaces of anti-self-dual connections on hermitian vector bundles of rank N.

each moduli space M.T/is compact, one might expect, by analogy with Morse theory, that a sequence!n Tn!1has a subsequence which converges, in a suitable sense, to a pair of monopoles over the cylindrical-end manifolds associated to Z 1;Z 2 together with a broken gradient line of # over RY.

Unfortunately, this kind. Seiberg-Witten equations on symplectic 4-manifolds ; Chapter 4. Gluing Techniques § Elliptic equations on manifolds with cylindrical ends ; Manifolds with cylindrical ends ; The Atiyah-Patodi-Singer index theorem ; Eta invariants and spectral flows ; The Lockhart.

Joyce and S. Salur, 'Deformations of Asymptotically Cylindrical coassociative submanifolds with cylindrical ends', Geometry and Topology 9 (), -- Also available on the Web as D. Joyce, 'Configurations in abelian categories.

Basic properties and moduli stacks', Advances in Mathematics (), Instanton Moduli Spaces and W-algebras Alexander Braverman, Michael Finkelberg, Hiraku Nakajima We describe the (equivariant) intersection cohomology of certain moduli spaces (“framed Uhlenbeck spaces”) together with some structures on them (such as e.g.,the Poincaré pairing) in terms of representation theory of some vertex operator.

smooth a moduli space of non-abelianmonopoles proposed by V. (p2 _ 4)k for P E Ho(X, Z) the dass ofa point), for a k which is explicitely determined moduli space (for manifolds with cylindrical ends) to derive a contradiction to the existence of the fake space form E/ G.

Browse other questions tagged reference-request ential-geometry ctic-geometry moduli-spaces or ask your own question. Featured on Meta Goodbye, Prettify. L-spaces and foliations. A priori the rank of the Heegaard Floer homology groups associated to a rational homology three-sphere Y are bounded by the first ordinary homology group.

An L-space is a rational homology three-sphere for which equality holds. Conjecture: Y is an L-space if and only if it does not contain a taut, oriented, foliation.

I was reading the wonderful book "The wild world of 4-manifolds" by Alexandru Scorpan and I found the following sentence: "We are able to orient $\mathfrak{M}$ (else we only get modulo 2 invariants)." Here $\mathfrak{M}$ is the moduli space of instantons on a four-manifold.

The thing is that I have seen similar statements before in the literature. L-spaces and foliations. A priori the rank of the Heegaard Floer homology groups associated to a rational homology three-sphere Y are bounded by the first ordinary homology group.

An L-space is a rational homology three-sphere for which equality holds. Conjecture: Y is an L-space if and only if it does not contain a taut, oriented, foliation. The corresponding moduli spaces will not be the same as those which result from a cylindrical end, and one of the first problems is to develop the usual tools of gauge theory in this setting.

at the end of the paper. (i) The moduli spaces Let X be a smooth, closed, oriented 4-manifold and E a closed embedded surface. locally there is a.