|Title||Braidings for skew monoidal categories|
|Presenter||John Bourke (Macquarie University)|
|Author(s)||Dr John Bourke|
|Session||Category Theory, Algebraic Topology, K-Theory|
Skew monoidal categories are a certain laxified version of monoidal category. They were introduced by Szlachanyi in 2012 in relation to bialgebroids over rings. In 2016 I described some examples of these structures arising in higher category theory. A natural question to ask is: ``what is the correct notion of braiding in the skew context?'' The answer is not, perhaps, what one might first guess. In this talk I will define braided skew monoidal categories and give some examples of them. This is joint work with Steve Lack.