Mathematical Research Letters

Volume 28 (2021)

Number 1

The Hall algebras of annuli

Pages: 25 – 63



Benjamin Cooper (Department of Mathematics, University of Iowa, Iowa City, Ia., U.S.A.)

Peter Samuelson (Department of Mathematics, University of California, Riverside, Calif., U.S.A.)


We refine and prove the central conjecture of our first paper for annuli with at least two marked intervals on each boundary component by computing the derived Hall algebras of their Fukaya categories.

Received 7 March 2019

Accepted 1 April 2020

Published 24 May 2022