Runako WilliamsUniversity of the Bahamas (UB) · Department of Mathematics
Runako Williams
PhD
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4
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Introduction
Additional affiliations
September 2011 - August 2013
Publications
Publications (4)
We conjecture a Verlinde type formula for the moduli space of Higgs sheaves on a surface with a holomorphic 2-form. The conjecture specializes to a Verlinde formula for the moduli space of sheaves. Our formula interpolates between K -theoretic Donaldson invariants studied by Göttsche and Nakajima-Yoshioka and K -theoretic Vafa-Witten invariants int...
We conjecture a Verlinde type formula for the moduli space of Higgs sheaves on a surface with a holomorphic 2-form. The conjecture specializes to a Verlinde formula for the moduli space of sheaves. Our formula interpolates between $K$-theoretic Donaldson invariants studied by the first named author and Nakajima-Yoshioka and $K$-theoretic Vafa-Witte...
We review different methods of generating potentials such that the
one-dimensional Schr\"{o}dinger equation (ODSE) can be transformed into the
hypergeometric equation. We compare our results with previous studies, and
complement the subject with new findings. Our main result is to derive new
classes of potentials such that the ODSE can be transform...
The present article discusses the two point connection problem for Heun's
differential equation. We employ a contour integral method to derive connection
matrices for a sub-class of the Heun equation containing 3 free parameters.
Explicit expressions for the connection coefficients are found.
