3 papers
math.CV2017
Spin Structures and Branch Divisors on -gonal Riemann surfaces
Yahya Almalki, Craig A. Nolder
We study spin structures on Riemann and Klein surfaces in terms of divisors. In particular, we take a closer look at spin structures on hyperelliptic and -gonal surfaces defined…
math.CV2015
Notions of Regularity for Functions of a Split-Quaternionic Variable
John A. Emanuello, Craig A. Nolder
Notions of a "holomorphic" function theory for functions of a split-quaternionic variable have been of recent interest. We describe two found in the literature and show that one no…
math.CV2008
-Dirac Operators
Craig A. Nolder, John Ryan
We introduce non-linear Dirac operators in associated to the -harmonic equation and we extend to other contexts including spin manifolds and the sphere.