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Higher Segal Sapces

Higher Segal Sapces
Catalogue Information
Field name Details
Dewey Class 510
Title Higher Segal Sapces (EB) / Tobias Dyckerhoff ; Mikhail Kapranov
Author Dyckerhoff, Tobias
Added Personal Name Kapranov, Mikhail
Publication Cham, Switzerland : Springer Nature , 2019
Physical Details 1 online resource
Series Lecture Notes in Mathematics ; 2244
ISBN 978-3-030-27124-4
Summary Note This monograph initiates a theory of new categorical structures that generalize the simplicial Segal property to higher dimensions. The authors introduce the notion of a d-Segal space, which is a simplicial space satisfying locality conditions related to triangulations of d-dimensional cyclic polytopes. Focus here is on the 2-dimensional case. Many important constructions are shown to exhibit the 2-Segal property, including Waldhausen’s S-construction, Hecke-Waldhausen constructions, and configuration spaces of flags. The relevance of 2-Segal spaces in the study of Hall and Hecke algebras is discussed.:
Mode of acces to digital resource Digital book Cham Springer Nature 2019 Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF
System details note Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site https://doi.org/10.1007/978-3-030-27124-4
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