Abstract
In this paper we give a necessary condition in order for a geometrical surface to allow for Abelian fractional statistics. In particular, we show that such statistics is possible only for two-dimentional oriented surfaces of genus zero, namely the sphere S{sup 2}, the plane R{sup 2} and the cylindrical surface R{sup 1}*S{sup 1}, and in general the connected sum of n planes R{sup 2}-R{sup 2}-R{sup 2}-...-R{sup 2}. (Author).
Citation Formats
Aneziris, Charilaos.
Surfaces allowing for fractional statistics.
Israel: N. p.,
1992.
Web.
Aneziris, Charilaos.
Surfaces allowing for fractional statistics.
Israel.
Aneziris, Charilaos.
1992.
"Surfaces allowing for fractional statistics."
Israel.
@misc{etde_10124980,
title = {Surfaces allowing for fractional statistics}
author = {Aneziris, Charilaos}
abstractNote = {In this paper we give a necessary condition in order for a geometrical surface to allow for Abelian fractional statistics. In particular, we show that such statistics is possible only for two-dimentional oriented surfaces of genus zero, namely the sphere S{sup 2}, the plane R{sup 2} and the cylindrical surface R{sup 1}*S{sup 1}, and in general the connected sum of n planes R{sup 2}-R{sup 2}-R{sup 2}-...-R{sup 2}. (Author).}
place = {Israel}
year = {1992}
month = {Jul}
}
title = {Surfaces allowing for fractional statistics}
author = {Aneziris, Charilaos}
abstractNote = {In this paper we give a necessary condition in order for a geometrical surface to allow for Abelian fractional statistics. In particular, we show that such statistics is possible only for two-dimentional oriented surfaces of genus zero, namely the sphere S{sup 2}, the plane R{sup 2} and the cylindrical surface R{sup 1}*S{sup 1}, and in general the connected sum of n planes R{sup 2}-R{sup 2}-R{sup 2}-...-R{sup 2}. (Author).}
place = {Israel}
year = {1992}
month = {Jul}
}