Last edited by Felkis
Wednesday, July 29, 2020 | History

5 edition of The Kobayashi-Hitchin correspondence found in the catalog.

# The Kobayashi-Hitchin correspondence

## by Martin LuМ€bke

Written in English

Subjects:
• Kobayashi-Hitchin correspondence (Algebraic geometry)

• Edition Notes

Includes bibliographical references (p. 242-250) and index.

Classifications The Physical Object Statement Martin Lübke, Andrei Teleman. Contributions Teleman, Andrei. LC Classifications QA601 Pagination viii,254p. ; Number of Pages 254 Open Library OL22596091M ISBN 10 9810221681

Hitchin N.: free download. Ebooks library. On-line books store on Z-Library | B–OK. Download books for free. Find books. This book explains the mathematical background behind the Standard Model, translating ideas from physics into a mathematical language and vice versa. The first part of the book covers the mathematical theory of Lie groups and Lie algebras, fibre bundles, connections, curvature and spinors. The Kobayashi Hitchin Correspondence. Martin L bke.

Review of some Results of Simpson on Kobayashi-Hitchin Correspondence 12 Weitzenbock Formula 15 A Priori Estimate of Higgs Fields 16 Norm Estimate for Tame Harmonic Bundle in Two Dimensional Case.. 19 Preliminary from Elementary Calculus 20 Reflexive Sheaf 22 Moduli Spaces of Representations 23 3. We establish the correspondence between tame harmonic bundles and $\mu_L$-stable parabolic Higgs bundles with trivial characteristic numbers. We also show the Bogomolov-Gieseker type inequality for $\mu_L$-stable parabolic Higgs bundles.

BibTeX @MISC{Mochizuki_kobayashi–hitchincorrespondence, author = {Takuro Mochizuki}, title = {Kobayashi–Hitchin correspondence}, year = {}}. Takuro, Mochizuki. Kobayashi-Hitchin correspondence for tame harmonic bundles and an application. Astérisque, no. (), p.

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Description; Chapters; Reviews; Supplementary; By the Kobayashi-Hitchin correspondence, the authors of this book mean the isomorphy of the moduli spaces M st of stable holomorphic — resp.

M HE of irreducible Hermitian–Einstein — structures in a differentiable complex vector bundle on a compact complex manifold. They give a complete proof of this result in the most. By the Kobayashi-Hitchin correspondence, the authors of this book mean the isomorphy of the moduli spaces Mst of stable holomorphic.

resp. MHE of irreducible Hermitian-Einstein. structures in a differentiable complex vector bundle on a compact complex manifold. They give a complete proof of this result in the most general setting, and treat several applications and some new By the Kobayashi-Hitchin correspondence, the authors of this book mean the isomorphy of the moduli spaces Mst of stable holomorphic - MHE of irreducible Hermitian-Einstein - structures in a differentiable complex vector bundle on a compact complex manifold.

The Kobayashi-Hitchin correspondence refers to the isomorphy of the moduli spaces Mst of stable holomorphic structures in a differentiable complex vector bundle on a compact complex manifold. This text examines this result in the most general setting and treats several applications and examples.

The Kobayashi-Hitchin correspondence Martin Lubke, Andrei Teleman By the Kobayashi-Hitchin correspondence, the authors of this book mean the isomorphy of the moduli spaces Mst of stable holomorphic - MHE of irreducible Hermitian-Einstein - structures in a differentiable complex vector bundle on a compact complex manifold.

Abstract. International audienceBy the Kobayashi-Hitchin correspondence, the authors of this book mean the isomorphy of the moduli spaces M^{st} of stable holomorphic - resp. M^{HE} of irreducible Hermitian-Einstein - structures in a differentiable complex vector bundle on a compact complex manifold.

The Kobayashi-Hitchin Correspondence pdf epub mobi txt 下载 图书描述 By the Kobayashi-Hitchin correspondence, the authors of this book mean the isomorphy of the moduli spaces Mst of stable holomorphic - MHE of irreducible Hermitian-Einstein - structures in a differentiable complex vector bundle on a compact complex manifold.

[Moc06], Kobayashi-Hitchin correspondence for tame harmonic bundles and an application, Astérisque, vol.Société Mathématique de France, Paris, – Quick Search in Books. Enter words / phrases / DOI / ISBN / keywords / authors / etc.

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Sign in. Skip main navigation. Close Drawer Menu Open Drawer Menu Home. Subject. All Subjects. Towards the Kobayashi-Hitchin correspondence Matthias Stemmler Abstract The Kobayashi-Hitchin correspondence states that a holomorphic vector bundle on a com-pact K ahler manifold admits a Hermitian-Einstein metric if and only if it is polystable in the sense of Mumford-Takemoto.

We introduce the relevant notions around this statement. By the Kobayashi-Hitchin correspondence, the authors of this book mean the isomorphy of the moduli spaces Mst of stable holomorphic resp.

MHE of irreducible Hermitian-Einstein structures in a differentiable complex vector bundle on a compact complex manifold. By the Kobayashi-Hitchin correspondence, the authors of this book mean the isomorphy of the moduli spaces Mst of stable holomorphic -- resp.

MHE of irreducible Hermitian-Einstein -- structures in a differentiable complex vector bundle on a compact complex manifold. They give a complete proof of this result in the most general setting, and treat Cited by: Our Kobayashi-Hitchin correspondence relates the complex geometric concept “polystable oriented holomorphic pair” to the existence of a reduction solving a generalized Hermitian-Einstein equation.

The proof is based on the Uhlenbeck-Yau continuity method. The author establishes the correspondence between tame harmonic bundles and $$\mu _L$$-polystable parabolic Higgs bundles with trivial characteristic numbers.

He also shows the Bogomolov–Gieseker type inequality for $$\mu _L$$-stable parabolic Higgs bundles. This correspondence was first proven for Riemann surfaces by Narasimhan–Seshadri, then for Kähler manifolds by Donaldson–Uhlenbeck–Yau, and for complex manifolds with Gauduchon metrics by Buchdahl–Li–Yau.

We refer the reader to for a general reference on the Kobayashi–Hitchin correspondence. Before stating the. For the details on this correspondence, the book [1] would be a good reference, see also the survey paper [27] from a viewpoint of harmonic maps.

Lübke and A. Teleman, "The Universal Kobayashi-hitchin Correspondence on Hermitian Manifolds" English | | ISBN: | DJVU | pages: | mb.

Abstract: We prove a very general Kobayashi-Hitchin correspondence on arbitrary compact Hermitian manifolds. This correspondence refers to moduli spaces of "universal holomorphic oriented pairs".

Most of the classical moduli problems in complex geometry (e. holomorphic bundles with reductive structure groups, holomorphic pairs, holomorphic Higgs pairs, Witten triples, arbitrary. Buy The Kobayashi-Hitchin Correspondence by Teleman, Andrei (ISBN: ) from Amazon's Book Store.

Everyday low prices and free delivery on eligible orders.Idea. The Kobayashi-Hitchin correspondence states that over suitable complex manifolds the moduli space of semi-stable vector bundles and that of Hermite-Einstein connections are essentially the same.

For the special case over Kähler manifolds this is the Donaldson-Uhlenbeck-Yau the special case over Riemann surfaces it is the Narasimhan-Seshadri theorem.Find helpful customer reviews and review ratings for The Universal Kobayashi-hitchin Correspondence on Hermitian Manifolds (Memoirs of the American Mathematical Society) at Read honest and unbiased product reviews from our users.