McKay correspondence for the Poincaré series of Kleinian and Fuchsian singularities

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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  • Wolfgang Ebeling
  • David Ploog

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OriginalspracheEnglisch
Seiten (von - bis)689-702
Seitenumfang14
FachzeitschriftMathematische Annalen
Jahrgang347
Ausgabenummer3
PublikationsstatusVeröffentlicht - 2010

Abstract

We give a uniform and, to a large extent, geometrical proof that the Poincaré series of the coordinate algebra of a Kleinian singularity and of a Fuchsian singularity of genus 0 is the quotient of the characteristic polynomials of two Coxeter elements. These Coxeter elements are interpreted geometrically, using 2-Calabi-Yau triangulated categories and spherical twist functors.

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McKay correspondence for the Poincaré series of Kleinian and Fuchsian singularities. / Ebeling, Wolfgang; Ploog, David.
in: Mathematische Annalen, Jahrgang 347, Nr. 3, 2010, S. 689-702.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Ebeling W, Ploog D. McKay correspondence for the Poincaré series of Kleinian and Fuchsian singularities. Mathematische Annalen. 2010;347(3):689-702. doi: 10.1007/s00208-009-0451-4
Ebeling, Wolfgang ; Ploog, David. / McKay correspondence for the Poincaré series of Kleinian and Fuchsian singularities. in: Mathematische Annalen. 2010 ; Jahrgang 347, Nr. 3. S. 689-702.
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