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A framework for geometric field theories and their classification in dimension one

von Matthias Ludewig, Augusto Stoffel

Jahr:

2020

Publikation:

SIGMA. Volume 17, id.072, 58 pages

Abstrakt:

In this paper, we develop a general framework of geometric functorial field theories, meaning that all bordisms in question are endowed with geometric structures. We take particular care to establish a notion of smooth variation of such geometric structures, so that it makes sense to require the output of our field theory to depend smoothly on the input.

Link:

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Additional Information


Brief introduction of the dida co-author(s) and relevance for dida's ML developments.

Dr. Augusto Stoffel

Augusto studierte Informatik in Brasilien und promovierte in Mathematik (University of Notre Dame, USA) über die Rolle der algebraischen Topologie als Grundlage der Quantenfeldtheorie. Bei der dida arbeitet er an NLP-Anwendungen, von der Forschung bis zur Backend-Entwicklung.