English

The AG-invariant for (m+2)-angulations

Representation Theory 2012-10-24 v1 Combinatorics

Abstract

In this paper, we study gentle algebras that come from (m+2)-angulations of unpunctured Riemann surfaces with boundary and marked points. We focus on calculating a derived invariant introduced by Avella-Alaminos and Geiss, generalizing previous work done when m=1. In particular, we provide a method for calculating this invariant based on the the configuration of the arcs in the (m+2)-angulation, the marked points, and the boundary components.

Cite

@article{arxiv.1210.6087,
  title  = {The AG-invariant for (m+2)-angulations},
  author = {Lucas David-Roesler},
  journal= {arXiv preprint arXiv:1210.6087},
  year   = {2012}
}

Comments

15 pages

R2 v1 2026-06-21T22:26:09.400Z