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Russian Mathematical Surveys, 2020, Volume 75, Issue 5, Pages 883–927
DOI: https://doi.org/10.1070/RM9963 (Mi rm9963) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Adjunction in 2-categories

D. V. Kaledinab

a Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
b National Research University Higher School of Economics
English version PDF (769 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/RM9963
Abstract: The aim of the paper is to introduce an approach to the theory of 2-categories which is based on systematic use of the Grothendieck construction and the Segal Machine and to show how adjunction questions can be investigated by means of this approach and what its connections are with more traditional approaches. As an application, the derived Morita 2-category and the Fourier–Mukai 2-category over a Noetherian ring are constructed and the embedding of the latter in the former is demonstrated.
Bibliography: 15 titles.
Keywords: adjoint functors, 2-categories.
Funding agency Grant number
Russian Science Foundation 18-11-00141
This work was supported by the Russian Science Foundation under grant no. 18-11-00141. No funding came from any other source.
Received: 25.05.2020
Bibliographic databases:
Document Type: Article
UDC: 512.667
MSC: 18N10
Language: English
Original paper language: Russian
Citation: D. V. Kaledin, “Adjunction in 2-categories”, Russian Math. Surveys, 75:5 (2020), 883–927
Citation in format AMSBIB
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\by D.~V.~Kaledin
\paper Adjunction in 2-categories
\jour Russian Math. Surveys
\yr 2020
\vol 75
\issue 5
\pages 883--927
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Успехи математических наук Russian Mathematical Surveys
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    Abstract page:509
    Russian version PDF:153
    English version PDF:85
    References:45
    First page:39
     
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