Martin Schlichenmaier's Books

An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

By: Martin Schlichenmaier

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An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

By: Martin Schlichenmaier

This book gives an introduction to modern geometry. Starting from an elementary level, the author develops deep geometrical concepts that play an important role in contemporary theoretical physics, presenting various techniques and viewpoints along the way. This second edition contains two additional, more advanced geometric techniques: the modern language and modern view of Algebraic Geometry and Mirror Symmetry.

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Page Count

228

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540711759

ISBN 13

9783540711759

An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

By: Martin Schlichenmaier

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An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

By: Martin Schlichenmaier

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228

Publisher

Springer Science & Business Media

Published Date

ISBN 10

3540711759

ISBN 13

9783540711759

Krichever–Novikov Type Algebras

Theory and Applications

By: Martin Schlichenmaier

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Krichever–Novikov Type Algebras

Theory and Applications

By: Martin Schlichenmaier

Krichever and Novikov introduced certain classes of infinite dimensional Lie algebras to extend the Virasoro algebra and its related algebras to Riemann surfaces of higher genus. The author of this book generalized and extended them to a more general setting needed by the applications. Examples of applications are Conformal Field Theory, Wess-Zumino-Novikov-Witten models, moduli space problems, integrable systems, Lax operator algebras, and deformation theory of Lie algebra. Furthermore they constitute an important class of infinite dimensional Lie algebras which due to their geometric origin are still manageable. This book gives an introduction for the newcomer to this exciting field of ongoing research in mathematics and will be a valuable source of reference for the experienced researcher. Beside the basic constructions and results also applications are presented.

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Page Count

378

Publisher

Walter de Gruyter GmbH & Co KG

Published Date

ISBN 10

3110279649

ISBN 13

9783110279641

Differential Rotation in Sun-like Stars from Surface Variability and Asteroseismology

By: Martin Bo Nielsen

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Differential Rotation in Sun-like Stars from Surface Variability and Asteroseismology

By: Martin Bo Nielsen

In his PhD dissertation Martin Bo Nielsen performs observational studies of rotation in stars like the Sun. The interior rotation in stars is thought to be one of the driving mechanisms of stellar magnetic activity, but until now this mechanism was unconstrained by observational data. NASA’s Kepler space mission provides high-precision observations of Sun-like stars which allow rotation to be inferred using two independent methods: asteroseismology measures the rotation of the stellar interior, while the brightness variability caused by features on the stellar surface trace the rotation of its outermost layers. By combining these two techniques Martin Bo Nielsen was able to place upper limits on the variation of rotation with depth in five Sun-like stars. These results suggest that the interior of other Sun-like stars also rotate in much the same way as our own Sun.

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Page Count

110

Publisher

Springer

Published Date

ISBN 10

3319509896

ISBN 13

9783319509891

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

Book's by Martin Schlichenmaier

An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

An Introduction to Riemann Surfaces, Algebraic Curves and Moduli Spaces

Krichever–Novikov Type Algebras

Krichever–Novikov Type Algebras

Differential Rotation in Sun-like Stars from Surface Variability and Asteroseismology

Differential Rotation in Sun-like Stars from Surface Variability and Asteroseismology

Quantization of Singular Symplectic Quotients

Quantization of Singular Symplectic Quotients

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