Categories of Lagrangian Correspondences in Super Hilbert Spaces and Fermionic Functorial Field Theory

In this paper, we study Lagrangian correspondences between Hilbert spaces. A main focus is on the question of when the composition of two Lagrangian correspondences is again Lagrangian. Our answer leads in particular to a well-defined composition law in a category of Lagrangian correspondences respe...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2024
Main Author: Ludewig, Matthias
Format: Article
Language:English
Published: Інститут математики НАН України 2024
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/212159
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Categories of Lagrangian Correspondences in Super Hilbert Spaces and Fermionic Functorial Field Theory. Matthias Ludewig. SIGMA 20 (2024), 036, 29 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine