Krzysztof Wysocki's Books

Polyfold and Fredholm Theory

By: Helmut Hofer,Krzysztof Wysocki,Eduard Zehnder

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Polyfold and Fredholm Theory

By: Helmut Hofer,Krzysztof Wysocki,Eduard Zehnder

This book pioneers a nonlinear Fredholm theory in a general class of spaces called polyfolds. The theory generalizes certain aspects of nonlinear analysis and differential geometry, and combines them with a pinch of category theory to incorporate local symmetries. On the differential geometrical side, the book introduces a large class of `smooth’ spaces and bundles which can have locally varying dimensions (finite or infinite-dimensional). These bundles come with an important class of sections, which display properties reminiscent of classical nonlinear Fredholm theory and allow for implicit function theorems. Within this nonlinear analysis framework, a versatile transversality and perturbation theory is developed to also cover equivariant settings. The theory presented in this book was initiated by the authors between 2007-2010, motivated by nonlinear moduli problems in symplectic geometry. Such problems are usually described locally as nonlinear elliptic systems, and they have to be studied up to a notion of isomorphism. This introduces symmetries, since such a system can be isomorphic to itself in different ways. Bubbling-off phenomena are common and have to be completely understood to produce algebraic invariants. This requires a transversality theory for bubbling-off phenomena in the presence of symmetries. Very often, even in concrete applications, geometric perturbations are not general enough to achieve transversality, and abstract perturbations have to be considered. The theory is already being successfully applied to its intended applications in symplectic geometry, and should find applications to many other areas where partial differential equations, geometry and functional analysis meet. Written by its originators, Polyfold and Fredholm Theory is an authoritative and comprehensive treatise of polyfold theory. It will prove invaluable for researchers studying nonlinear elliptic problems arising in geometric contexts.

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Page Count

1001

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Springer Nature

Published Date

ISBN 10

3030780074

ISBN 13

9783030780074

Poland, Soviet Union, Russia

From past through memory to politics

By: Przemysław Adamczewski,Wojciech Materski,Piotr Madajczyk,Grzegorz Motyka,Krzysztof Persak,Andrzej Paczkowski,Tomasz Stryjek,Konrad Świder

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Poland, Soviet Union, Russia

From past through memory to politics

By: Przemysław Adamczewski,Wojciech Materski,Piotr Madajczyk,Grzegorz Motyka,Krzysztof Persak,Andrzej Paczkowski,Tomasz Stryjek,Konrad Świder

This book contains an overview of many publications by employees of the Institute of Political Studies of the Polish Academy of Sciences in Warsaw in the field of Eastern studies. We have selected texts on the recent history of Eastern Europe, the Soviet Union and communist rule, as well as contemporary Russia and Polish-Russian relations. By making these available to English-speaking readers, on the one hand, we want to present a small part, due to limited space, of the Eastern studies conducted by the Institute and, on the other, pay tribute to their distinguished representative, Richard Pipes. In 2019, according to the last will of this historian, scholar and sovietologist, who died on 18 May 2018, the Institute received his book collection of over three and a half thousand items, mainly concerning Russia and the Soviet Union. These are works of high scientific rank that the scholar collected for over half a century. Acquiring the book collection was the first step towards establishing the Professor Richard Pipes Laboratory. This was possible thanks to funding obtained by the Institute at the end of 2019 from the Ministry of Science and Higher Education as part of the Dialogue programme.

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Page Count

266

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The Institute of Political Studies Polish Academy of Sciences

Published Date

ISBN 10

8366819019

ISBN 13

9788366819016

Polyfold and Fredholm Theory

By: Helmut Hofer,Krzysztof Wysocki,Eduard Zehnder

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Polyfold and Fredholm Theory

By: Helmut Hofer,Krzysztof Wysocki,Eduard Zehnder

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

1001

Publisher

Springer Nature

Published Date

ISBN 10

3030780074

ISBN 13

9783030780074

Book's by Krzysztof Wysocki

Polyfold and Fredholm Theory

Polyfold and Fredholm Theory

Poland, Soviet Union, Russia

Poland, Soviet Union, Russia

Polyfold and Fredholm Theory

Polyfold and Fredholm Theory

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