5 papers
Period polynomials for Picard modular forms
Sheldon Joyner
The relations satisfied by period polynomials associated to modular forms yield a way to count dimensions of spaces of cusp forms. After showing how these relations arise from thos…
On an algebraic version of the Knizhnik-Zamolodchikov equation
Sheldon Joyner
A difference equation analogue of the Knizhnik-Zamolodchikov equation is exhibited by developing a theory of the generating function of Hurwitz polyzeta functions to paralle…
Pullback of parabolic bundles and covers of
Ajneet Dhillon, Sheldon Joyner
We work over an algebraically closed ground field of characteristic zero. A -cover of ramified at three points allows one to assign to each finite dimensional re…
On an extension of the universal monodromy representation for
Sheldon T Joyner
The Chen series map giving the universal monodromy representation of is extended to an injective 1-cocycle of into power…
On a generalization of Chen's iterated integrals
Sheldon Joyner
Chen's iterated integrals may be generalized by interpolation of functions of the positive integer number of times which particular forms are iterated in integrals along specific p…