Combinatorics of Hurwitz numbers
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Date
2016-08Author
Ntezimana, Ignace
Type
ThesisLanguage
enMetadata
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The goal of this dissertation, is to count branched covering of P1. The formal count was
rst instigated by A. Hurwitz in his landmark paper of 1981. Hence the numbers associated
to the count of branched covering are called Hurwitz numbers. The general idea is to count
the number of holomorphic functions to the complex projective line P1 by xing some
geometrical conditions to guarantee the nite count. It is shown in this thesis that this
number is always nite and using combinatorial and representation theoretic techniques
we provide some examples.
Publisher
University of Nairobi