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Monge–Ampère Grassmannians, Characteristic Classes and All That

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Nonlinear PDEs, Their Geometry, and Applications

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Abstract

We study the topology of integral Monge–Ampère grassmannians and related characteristic classes.

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Acknowledgements

V. L. and V. R. express their deep thanks to the organisers of the Summer School ‘Wisla 2018’ and personally to Jerzy Szmit for a very stimulating summer school and for excellent working conditions. We are grateful to all participants for useful and fruitful discussions and inspiring atmosphere during the School.1 During preparation of the material, V. R. was partly supported by the project IPaDEGAN (H2020-MSCA-RISE-2017), Grant Number 778010, and by the Russian Foundation for Basic Research under the Grants RFBR 18-01-00461 and 19-51-53014 GFEN. The research of V. L. was partly supported by the Russian Foundation for Basic Research under RFBR Grant 18-29-10013.

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Authors and Affiliations

  1. V. A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, 65 Profsoyuznaya street, Moscow, 117997, Russia

    Valentin V. Lychagin

  2. UiT Norges Arktiske Universitet, Postboks 6050, 9037, Langnes, Tromso, Norway

    Valentin V. Lychagin

  3. LAREMA UMR 6093 du CNRS, Département de Mathématiques, Université d’Angers, Angers, France

    Volodya Roubtsov

  4. Theory Division of ITEP, Moscow, Russia

    Volodya Roubtsov

Authors
  1. Valentin V. Lychagin
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  2. Volodya Roubtsov
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Correspondence to Volodya Roubtsov .

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Editors and Affiliations

  1. The Faculty of Science, Masaryk University, Brno, Czech Republic

    Radosław A. Kycia

  2. Baltic Institute of Mathematics, Warszawa, Poland

    Maria Ułan

  3. Department of Mathematics and Statistics, UiT The Arctic University of Norway, Tromsø, Norway

    Eivind Schneider

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Lychagin, V.V., Roubtsov, V. (2019). Monge–Ampère Grassmannians, Characteristic Classes and All That. In: Kycia, R., Ułan, M., Schneider, E. (eds) Nonlinear PDEs, Their Geometry, and Applications. Tutorials, Schools, and Workshops in the Mathematical Sciences . Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-17031-8_8

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