Markus Pflaum's Books

Analytic and Geometric Study of Stratified Spaces

Contributions to Analytic and Geometric Aspects

By: Markus J. Pflaum

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Analytic and Geometric Study of Stratified Spaces

Contributions to Analytic and Geometric Aspects

By: Markus J. Pflaum

The book provides an introduction to stratification theory leading the reader up to modern research topics in the field. The first part presents the basics of stratification theory, in particular the Whitney conditions and Mather's control theory, and introduces the notion of a smooth structure. Moreover, it explains how one can use smooth structures to transfer differential geometric and analytic methods from the arena of manifolds to stratified spaces. In the second part the methods established in the first part are applied to particular classes of stratified spaces like for example orbit spaces. Then a new de Rham theory for stratified spaces is established and finally the Hochschild (co)homology theory of smooth functions on certain classes of stratified spaces is studied. The book should be accessible to readers acquainted with the basics of topology, analysis and differential geometry.

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Page Count

233

Publisher

Springer

Published Date

ISBN 10

3540454365

ISBN 13

9783540454366

Connes-Chern Character for Manifolds with Boundary and Eta Cochains

By: Matthias Lesch,Henri Moscovici,Markus Pflaum

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Connes-Chern Character for Manifolds with Boundary and Eta Cochains

By: Matthias Lesch,Henri Moscovici,Markus Pflaum

November 2012, volume 220, number (end of volume).

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Page Count

106

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821872966

ISBN 13

9780821872963

Intersection Spaces, Spatial Homology Truncation, and String Theory

By: Markus Banagl

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Intersection Spaces, Spatial Homology Truncation, and String Theory

By: Markus Banagl

Intersection cohomology assigns groups which satisfy a generalized form of Poincaré duality over the rationals to a stratified singular space. This monograph introduces a method that assigns to certain classes of stratified spaces cell complexes, called intersection spaces, whose ordinary rational homology satisfies generalized Poincaré duality. The cornerstone of the method is a process of spatial homology truncation, whose functoriality properties are analyzed in detail. The material on truncation is autonomous and may be of independent interest tohomotopy theorists. The cohomology of intersection spaces is not isomorphic to intersection cohomology and possesses algebraic features such as perversity-internal cup-products and cohomology operations that are not generally available for intersection cohomology. A mirror-symmetric interpretation, as well as applications to string theory concerning massless D-branes arising in type IIB theory during a Calabi-Yau conifold transition, are discussed.

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Page Count

237

Publisher

Springer

Published Date

ISBN 10

3642125891

ISBN 13

9783642125898

Irredentism in European Politics

Argumentation, Compromise and Norms

By: Markus Kornprobst

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Irredentism in European Politics

Argumentation, Compromise and Norms

By: Markus Kornprobst

Considers how the emergence of the territorial status quo norm in post-1945 Europe has reversed the pattern of disputes.

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Page Count

319

Publisher

Cambridge University Press

Published Date

ISBN 10

0521895588

ISBN 13

9780521895583

Organic Molecular Solids

By: Markus Schwoerer,Hans Christoph Wolf

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Organic Molecular Solids

By: Markus Schwoerer,Hans Christoph Wolf

This is the first comprehensive textbook on the physical aspects of organic solids. All phenomena which are necessary in order to understand modern technical applications are being dealt with in a way which makes the concepts of the topics accessible for students. The chapters - from the basics, production and characterization of organic solids and layers to organic semiconductors, superconductors and opto-electronical applications - have been arranged in a logical and well thought-out order.

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Page Count

444

Publisher

John Wiley & Sons

Published Date

ISBN 10

3527405402

ISBN 13

9783527405404

Analytic and Geometric Study of Stratified Spaces

Contributions to Analytic and Geometric Aspects

By: Markus J. Pflaum

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Analytic and Geometric Study of Stratified Spaces

Contributions to Analytic and Geometric Aspects

By: Markus J. Pflaum

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Page Count

233

Publisher

Springer

Published Date

ISBN 10

3540454365

ISBN 13

9783540454366

Quantization of Singular Symplectic Quotients

By: N.P. Landsman,Markus Pflaum,Martin Schlichenmaier

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Quantization of Singular Symplectic Quotients

By: N.P. Landsman,Markus Pflaum,Martin Schlichenmaier

This is the first exposition of the quantization theory of singular symplectic (Marsden-Weinstein) quotients and their applications to physics. The reader will acquire an introduction to the various techniques used in this area, as well as an overview of the latest research approaches. These involve classical differential and algebraic geometry, as well as operator algebras and noncommutative geometry. Thus one will be amply prepared to follow future developments in this field.

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Page Count

372

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3764366087

ISBN 13

9783764366087

Connes-Chern Character for Manifolds with Boundary and Eta Cochains

By: Matthias Lesch,Henri Moscovici,Markus Pflaum

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Connes-Chern Character for Manifolds with Boundary and Eta Cochains

By: Matthias Lesch,Henri Moscovici,Markus Pflaum

November 2012, volume 220, number (end of volume).

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Page Count

106

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821872966

ISBN 13

9780821872963

Compact Projective Planes

With an Introduction to Octonion Geometry

By: Helmut Salzmann,Dieter Betten,Theo Grundhöfer,Hermann Hähl,Rainer Löwen,Markus Stroppel

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Compact Projective Planes

With an Introduction to Octonion Geometry

By: Helmut Salzmann,Dieter Betten,Theo Grundhöfer,Hermann Hähl,Rainer Löwen,Markus Stroppel

The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany Katrin Wendland, University of Freiburg, Germany Honorary Editor Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Titles in planning include Yuri A. Bahturin, Identical Relations in Lie Algebras (2019) Yakov G. Berkovich and Z. Janko, Groups of Prime Power Order, Volume 6 (2019) Yakov G. Berkovich, Lev G. Kazarin, and Emmanuel M. Zhmud', Characters of Finite Groups, Volume 2 (2019) Jorge Herbert Soares de Lira, Variational Problems for Hypersurfaces in Riemannian Manifolds (2019) Volker Mayer, Mariusz Urbański, and Anna Zdunik, Random and Conformal Dynamical Systems (2021) Ioannis Diamantis, Boštjan Gabrovšek, Sofia Lambropoulou, and Maciej Mroczkowski, Knot Theory of Lens Spaces (2021)

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Page Count

705

Publisher

Walter de Gruyter

Published Date

ISBN 10

3110876833

ISBN 13

9783110876833

Book's by Markus Pflaum

Analytic and Geometric Study of Stratified Spaces

Analytic and Geometric Study of Stratified Spaces

Connes-Chern Character for Manifolds with Boundary and Eta Cochains

Connes-Chern Character for Manifolds with Boundary and Eta Cochains

Intersection Spaces, Spatial Homology Truncation, and String Theory

Intersection Spaces, Spatial Homology Truncation, and String Theory

Irredentism in European Politics

Irredentism in European Politics

Organic Molecular Solids

Organic Molecular Solids

Analytic and Geometric Study of Stratified Spaces

Analytic and Geometric Study of Stratified Spaces

Quantization of Singular Symplectic Quotients

Quantization of Singular Symplectic Quotients

Connes-Chern Character for Manifolds with Boundary and Eta Cochains

Connes-Chern Character for Manifolds with Boundary and Eta Cochains

Compact Projective Planes

Compact Projective Planes

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