TY - JOUR
T1 - A note on the (∞; n)–category of cobordisms
AU - Calaque, Damien
AU - Scheimbauer, Claudia
N1 - Publisher Copyright:
© 2019, Mathematical Sciences Publishers. All rights reserved.
PY - 2019
Y1 - 2019
N2 - In this extended note we give a precise definition of fully extended topological field theories à la Lurie. Using complete n–fold Segal spaces as a model, we construct an (∞; n)–category of n–dimensional bordisms, possibly with tangential structure. We endow it with a symmetric monoidal structure and show that we can recover the usual category of bordisms.
AB - In this extended note we give a precise definition of fully extended topological field theories à la Lurie. Using complete n–fold Segal spaces as a model, we construct an (∞; n)–category of n–dimensional bordisms, possibly with tangential structure. We endow it with a symmetric monoidal structure and show that we can recover the usual category of bordisms.
UR - http://www.scopus.com/inward/record.url?scp=85065864765&partnerID=8YFLogxK
U2 - 10.2140/agt.2019.19.533
DO - 10.2140/agt.2019.19.533
M3 - Article
AN - SCOPUS:85065864765
SN - 1472-2747
VL - 19
SP - 533
EP - 656
JO - Algebraic and Geometric Topology
JF - Algebraic and Geometric Topology
IS - 2
ER -