Author: Kos Diveris
email: diveris@stolaf.edu
Address:
Department of Mathematics, St. Olaf College, Northfield, MN 55057, USA

Author: Marju Purin
email: purin@stolaf.edu
Address:
Department of Mathematics, St. Olaf College, Northfield, MN 55057, USA

Author: Peter Webb
email: webb@math.umn.edu
Address:
School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA

Title: The bounded derived category of a poset

Abstract: We introduce a new combinatorial condition on a subinterval of a poset P (a clamped subinterval) that allows us to relate the Auslander-Reiten quiver of the bounded derived category of P to that of the subinterval. Applications include the determination of when a poset is fractionally Calabi-Yau and the computation of the Auslander-Reiten quivers of both the bounded derived category and of the module category.