The aim is to define what it means to be a meromorphic section of a quaternionic holomorphic vector bundle over a compact Riemann surface and then prove a version of the Riemann-Rock theorem for divisors that generalizes the classical theorem. A meromorphic section of a quaternionic spin bundle provides Weierstrass data (modulo period conditions) for a conformal map into Euclidean three space with prescribed mean curvature half density.
Identifier / keyword
Pure sciences; Holomorphic bundles; Quaternionic; Riemann-Roch theorem
The quaternionic Riemann -Roch theorem
Auth, Matthew Leonard
DAI-B 63/01, Dissertation Abstracts International
Place of publication
Country of publication
University of Massachusetts Amherst
United States -- Massachusetts
Dissertations & Theses
ProQuest document ID
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.