Corrigendum to “Factorization homology I: Higher categories” [Adv. Math. 333 (2018) 1042–1177] Advances in Mathematics (2018) 333 (1042–1177), (S0001870818302068), (10.1016/j.aim.2018.05.031))

David Ayala, John Francis*, Nick Rozenblyum

*Corresponding author for this work

Research output: Contribution to journalComment/debate

Abstract

In our previous article [1], a functor was constructed from an ∞-category of (∞,n)-categories to space-valued invariants on vari-framed stratified n-manifolds. This functor was asserted to be fully-faithful, based on a calculation that a space of conically smooth diffeomorphisms of a hemispherically stratified n-disk that preserve a vari-framing is contractible. This core calculation is false in dimensions n≥3, and the functor is not fully-faithful in dimensions n≥3.

Original languageEnglish (US)
Article number107217
JournalAdvances in Mathematics
Volume370
DOIs
StatePublished - Aug 26 2020

Keywords

  • (∞,n)-categories
  • Complete Segal spaces
  • Exit-path categories
  • Factorization homology
  • Stratified spaces
  • Vari-framed stratified manifolds

ASJC Scopus subject areas

  • Mathematics(all)

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