Year of Award
Doctor of Philosophy (PhD)
Department or School/College
Department of Mathematical Sciences
Kelly McKinnie, Karel Stroethoff, Nikolaus Vonessen, Nate McCrady
University of Montana
Culler-Shalen theory uses the algebraic geometry of a 3-manifold's SL2(C)-character variety to construct essential surfaces in the manifold. There are module structures associated to the coordinate ring of the character variety which are intimately related to essential surface construction. When these modules are finitely generated, we derive a formula for their rank that incorporates the variety's field of definition and the Culler-Shalen norm.
Katerba, Charles Walter, "MODULES, FIELDS OF DEFINITION, AND THE CULLER-SHALEN NORM" (2017). Graduate Student Theses, Dissertations, & Professional Papers. 10988.
© Copyright 2017 Charles Walter Katerba