%0 Generic %1 Baur2007 %A Baur, Karin %A Marsh, Robert J. %D 2007 %K discs ptolemy punctured relations %T Ptolemy relations for punctured discs %U http://arxiv.org/abs/0711.1443 %X We construct frieze patterns of type D_N with entries which are numbers of matchings between vertices and triangles of corresponding triangulations of a punctured disc. For triangulations corresponding to orientations of the Dynkin diagram of type D_N, we show that the numbers in the pattern can be interpreted as specialisations of cluster variables in the corresponding Fomin-Zelevinsky cluster algebra.

@misc{Baur2007, abstract = { We construct frieze patterns of type D_N with entries which are numbers of matchings between vertices and triangles of corresponding triangulations of a punctured disc. For triangulations corresponding to orientations of the Dynkin diagram of type D_N, we show that the numbers in the pattern can be interpreted as specialisations of cluster variables in the corresponding Fomin-Zelevinsky cluster algebra. }, added-at = {2010-10-31T16:05:24.000+0100}, author = {Baur, Karin and Marsh, Robert J.}, biburl = {https://www.bibsonomy.org/bibtex/2e69e7c21566771a9845b2190b4378ae7/uludag}, description = {Ptolemy relations for punctured discs}, interhash = {4cf9f30e2a58267674762c7a9fb27a10}, intrahash = {e69e7c21566771a9845b2190b4378ae7}, keywords = {discs ptolemy punctured relations}, note = {cite arxiv:0711.1443 Comment: 24 pages, 28 figures}, timestamp = {2010-10-31T16:05:24.000+0100}, title = {Ptolemy relations for punctured discs}, url = {http://arxiv.org/abs/0711.1443}, year = 2007 }