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Enumeration of Border-Strip Decompositions and Weil-Petersson Volumes
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
Ecole Polytech Fed Lausanne, Dept Math, CH-1015 Lausanne, Switzerland..
2019 (English)In: Journal of Integer Sequences, ISSN 1530-7638, E-ISSN 1530-7638, Vol. 22, no 4, article id 19.4.5Article in journal (Refereed) Published
Abstract [en]

We describe an injection from border-strip decompositions of certain diagrams to permutations. This allows us to provide enumeration results as well as q-analogues of enumeration formulas. Finally, we use this injection to prove a connection between the number of border-strip decompositions of the n x 2n rectangle and the Weil-Petersson volume of the moduli space of an n-punctured Riemann sphere.

Place, publisher, year, edition, pages
UNIV WATERLOO , 2019. Vol. 22, no 4, article id 19.4.5
Keywords [en]
border-strip decomposition, permutation, q-analogue, Weil-Petersson volume, rectangular shape
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-255466ISI: 000473287400001Scopus ID: 2-s2.0-85073302062OAI: oai:DiVA.org:kth-255466DiVA, id: diva2:1352404
Note

QC 20190918

Available from: 2019-09-18 Created: 2019-09-18 Last updated: 2020-02-04Bibliographically approved

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