Last edited by Vusho
Friday, August 7, 2020 | History

2 edition of Yang-Mills connections on orientable and nonorientable surfaces found in the catalog.

Yang-Mills connections on orientable and nonorientable surfaces

Nan-Kuo Ho

# Yang-Mills connections on orientable and nonorientable surfaces

## by Nan-Kuo Ho

Written in English

Subjects:
• Geometry, Differential,
• Moduli theory,
• Yang-Mills theory

• Edition Notes

Classifications The Physical Object Statement Nan-Kuo Ho, Chiu-Chu Melissa Liu. Series Memoirs of the American Mathematical Society -- no. 948, Memoirs of the American Mathematical Society -- no. 948. Contributions Liu, Chiu-Chu Melissa, 1974- LC Classifications QA641 .H65 2009 Pagination vii, 98 p. ; Number of Pages 98 Open Library OL23994078M ISBN 10 0821844911 ISBN 10 9780821844915 LC Control Number 2009029177

In fact, by Definition of Chapter 4, M is orientable if and only if there is a nonvanishing 2-form on it. So if M has an area form, it is certainly orientable. The remainder of the proof follows the same pattern as for Proposition in Chapter , for M ⊂ R 3 there is a natural one-to-one correspondence between unit normals U and area forms dM given by. Yang-Mills connections on orientable and nonorientable surfaces. By Nan-kuo Ho, Chiu-chu and Melissa Liu. Abstract. Abstract. In [HL4] we study Yang-Mills functional on the space of connections on a principal GR-bundle over a closed, connected, nonorientable surface, where GR is any compact connected Lie group. Author: Nan-kuo Ho, Chiu-chu and Melissa Liu.

Yang-Mills connections on orientable and nonorientable surfaces. By Nan-kuo Ho, Chiu-chu and Melissa Liu. Abstract. Abstract. In [HL4] we studied Yang-Mills functional on the space of connections on a principal GR-bundle over a closed, connected, nonorientable surface, where GR is any compact connected Lie group. Author: Nan-kuo Ho, Chiu-chu and Melissa Liu. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. In [HL4] we study Yang-Mills functional on the space of connections on a principal GR-bundle over a closed, connected, nonorientable surface, where GR is any compact connected Lie group. In this sequel, we generalize the discussion in [AB] and [HL4]. We obtain explicit descriptions (as representation.

More recently Atiyah and Bott [AB] showed that the Yang-Mills connections on a compact orientable surface can be characterized by homomorphisms to G from an extension of the fundamental group of M. The purpose of this paper is to present a new proof of the result of Atiyah and Bott, using the path group formulation for connections. We show that. CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract. In [HL4] we studied Yang-Mills functional on the space of connections on a principal GR-bundle over a closed, connected, nonorientable surface, where GR is any compact connected Lie group. In this sequel, we generalize the discussion in [AB] and [HL4]. We obtain explicit descriptions (as representation.

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### Yang-Mills connections on orientable and nonorientable surfaces by Nan-Kuo Ho Download PDF EPUB FB2

Buy Yang-Mills Connections on Orientable and Nonorientable Surfaces (Memoirs of the American Mathematical Society) on FREE SHIPPING on qualified orders Yang-Mills Connections on Orientable and Nonorientable Surfaces (Memoirs of the American Mathematical Society): Nan-kuo Ho, Chiu-chu Melissa Liu: : BooksCited by: In this monograph, the authors generalize the discussion in “ The Yang-Mills equations over Riemann surfaces ” and “ Yang-Mills Connections on Nonorientable Surfaces ”.

They obtain explicit descriptions of equivariant Morse stratification of Yang-Mills functional on orientable and nonorientable surfaces for non-unitary classical groups $$SO(n)$$ and $$Sp(n)$$.

In "Yang-Mills Connections on Nonorientable Surfaces", the authors study Yang-Mills functional on the space of connections on a principal $G_{\mathbb{R}}$-bundle over a closed, connected, nonorientable surface, where $G {\mathbb{R}}$ is any compact connected Lie group.

Get this from a library. Yang-Mills connections on orientable and nonorientable surfaces. [Nan-Kuo Ho; Chiu-Chu Melissa Liu]. Yang-Mills connections on orientable and nonorientable surfaces About this Title.

Nan-Kuo Ho, Department of Mathematics, National Tsing-Hua University, Taiwan and Chiu-Chu Melissa Liu, Department of Mathematics, Columbia University. Publication: Memoirs of. Yang-Mills connections on orientable and nonorientable surfaces. Providence, R.I.: American Mathematical Society, (DLC) (OCoLC) Material Type: Document, Internet resource: Document Type: Internet Resource, Computer File: All Authors / Contributors: Nan-Kuo Ho; Chiu-Chu Melissa Liu.

In The Yang-Mills equations over Riemann surfaces, Atiyah and Bott studied Yang-Mills functional over a Riemann surface from the point of view of Morse.

In "The Yang-Mills equations over Riemann surfaces", Atiyah and Bott studied Yang-Mills functional over a Riemann surface from the point of view of Morse theory. We generalize their study to all closed, compact, connected, possibly nonorientable surfaces. We introduce the notion of "super central extension" of the fundamental group of a surface.

It is the central extension when the surface Cited by: 3. Orientability in Yang–Mills theory over nonorientable surfaces Nan-Kuo Ho, Chiu-Chu Melissa Liu and Daniel Ramras The ﬁrst two authors have constructed a gauge-equivariant Morse stratiﬁcation on the space of connections on a principal U(n)-bundle over a connected, closed, nonorientable surface.

This book provides the most important step towards a rigorous foundation of the Fukaya category in general context. In Volume I, general deformation theory of the Floer cohomology is developed in both algebraic and geometric contexts. An essentially self-contained homotopy theory of filtered $$A_\infty$$ algebras and $$A_\infty$$ bimodules and.

YANG-MILLS CONNECTIONS ON ORIENTABLE AND NONORIENTABLE SURFACES NAN-KUO HO AND CHIU-CHU MELISSA LIU Abstract. In [HL4] we study Yang-Mills functional on the space of connections on a principal GR-bundle over a closed, connected, nonorientable surface, where GR is any compact connected Lie group.

Inwe studied Yang-Mills functional on the space of connections on a principal G_R-bundle over a closed, connected, nonorientable surface, where G_R is any compact connected Lie group. In this sequel, we generalize the discussion in "The Yang-Mills equations over Riemann surfaces" by Atiyah and Bott, and We obtain explicit descriptions (as representation.

Yang-Mills Connections on Orientable and Nonorientable Surfaces por Nan-kuo Ho,disponible en Book Depository con envío gratis. Abstract: In "The Yang-Mills equations over Riemann surfaces", Atiyah and Bott studied Yang-Mills functional over a Riemann surface from the point of view of Morse theory.

We generalize their study to all closed, compact, connected, possibly nonorientable surfaces. We introduce the notion of "super central extension" of the fundamental group of a by: 3. It is the central extension when the surface is orientable.

We establish a precise correspondence between Yang-Mills connections and representations of super central extension.

Yang-Mills connections on orientable and nonorientable surfaces. [Nan-Kuo Ho; Chiu-Chu Melissa Liu] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Contacts Search for a Library.

Create. communications in analysis and geometry Vol Number 3, –, Yang–Mills connections on nonorientable surfaces Nan-Kuo Ho and Chiu-Chu Melissa Liu Dedicated to thCited by: Mathematics Subject Classiﬁcation.

Primary53D20;Secondary58E Library of Congress Cataloging-in-Publication Data Ho,Nan-Kuo,Yang-Mills connections on orientable and n. Inwe studied Yang-Mills functional on the space of connections on a principal G_R-bundle over a closed, connected, nonorientable surface. Read Online L A Connections Tl2 and Download L A Connections Tl2 book full in PDF formats.

over Riemann surfaces'' and Yang-Mills Connections on Nonorientable Surfaces''. They obtain explicit descriptions of equivariant Morse stratification of Yang-Mills functional on orientable and nonorientable surfaces for non-unitary classical groups.

Destination page number Search scope Search Text.Yang-Mills SO(2n)-Connections 49 SO(2n)-connections on orientable surfaces 49 Equivariant Poincar e series 55 SO(4m+ 2)-connections on nonorientable surfaces 58 SO(4m)-connections on nonorientable surfaces 64 Chapter 7. Yang-Mills Sp(n)-Connections 74 Sp(n)-connections on orientable surfaces 74 Equivariant Poincar.CiteSeerX - Document Details (Isaac Councill, Lee Giles, Pradeep Teregowda): Abstract.

In [AB], Atiyah and Bott studied Yang-Mills functional over a Riemann surface from the point of view of Morse theory. In [HL4], we study Yang-Mills functional on the space of connections on a principal GR-bundle over a closed, connected, nonorientable surface, where GR is any compact connected Lie group.