Lecture notes on infinity-properads

Philip Hackney, Marcy Robertson

    Research output: Chapter in Book/Report/Conference proceedingChapter

    Abstract

    These are notes for three lectures on higher properads given at a program at the mathematical institute MATRIX in Australia in June 2016. The first lecture covers the case of operads, and provides a brief introduction to the Moerdijk-Weiss theory of dendroidal sets. The second lecture extends the discussion to properads and our work with Donald Yau on graphical sets. These two lectures conclude with models for higher (pr)operads given by an inner horn filling condition. Finally, in the last lecture, we explore some properties of the graphical category and use them to propose a Segal-type model for higher properads.
    Original languageEnglish
    Title of host publication2016 MATRIX annals
    EditorsJan de Gier, Cheryl E. Praeger, Terence Tao
    Place of PublicationCham
    PublisherSpringer, Springer Nature
    Pages351-374
    Number of pages24
    ISBN (Electronic)9783319722993
    ISBN (Print)9783319722986
    DOIs
    Publication statusPublished - 2018

    Publication series

    NameMATRIX Book Series
    PublisherSpringer Nature
    Volume1
    ISSN (Print)2523-3041
    ISSN (Electronic)2523-305X

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  • Cite this

    Hackney, P., & Robertson, M. (2018). Lecture notes on infinity-properads. In J. de Gier, C. E. Praeger, & T. Tao (Eds.), 2016 MATRIX annals (pp. 351-374). (MATRIX Book Series; Vol. 1). Cham: Springer, Springer Nature. https://doi.org/10.1007/978-3-319-72299-3_18