TY - JOUR
T1 - Corrigendum to “Factorization homology I
T2 - Higher categories” [Adv. Math. 333 (2018) 1042–1177] Advances in Mathematics (2018) 333 (1042–1177), (S0001870818302068), (10.1016/j.aim.2018.05.031))
AU - Ayala, David
AU - Francis, John
AU - Rozenblyum, Nick
N1 - Funding Information:
DA was supported by the National Science Foundation under awards 1507704 and 1812055 . JF was supported by the National Science Foundation under awards 1508040 and 1812057 .
Publisher Copyright:
© 2020
PY - 2020/8/26
Y1 - 2020/8/26
N2 - 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.
AB - 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.
KW - (∞,n)-categories
KW - Complete Segal spaces
KW - Exit-path categories
KW - Factorization homology
KW - Stratified spaces
KW - Vari-framed stratified manifolds
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U2 - 10.1016/j.aim.2020.107217
DO - 10.1016/j.aim.2020.107217
M3 - Comment/debate
AN - SCOPUS:85085507368
SN - 0001-8708
VL - 370
JO - Advances in Mathematics
JF - Advances in Mathematics
M1 - 107217
ER -