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math.CO1997
Orbifold Euler characteristics and the number of commuting n-tuples in symmetric groups
Jim Bryan, Jason Fulman
Generating functions for the number of commuting m-tuples in the symmetric groups are obtained. We define a natural sequence of ``orbifold Euler characteristics'' for a finite grou…
alg-geom1997
The enumerative geometry of K3 surfaces and modular forms
Jim Bryan, Naichung Conan Leung
We prove the conjectures of Yau-Zaslow and Gottsche concerning the number curves on K3 surfaces. Specifically, let X be a K3 surface and C be a holomorphic curve in X representing…