4 papers
Surgery calculus for classical Chern-Simons theory
Calvin McPhail-Snyder
Classical -Chern-Simons theory assigns a -manifold with representation its complex volume $\…
Kashaev--Reshetikhin Invariants of Links
Kai-Chieh Chen, Calvin McPhail-Snyder, Scott Morrison +1
Kashaev and Reshetikhin previously described a way to define holonomy invariants of knots using quantum at a root of unity. These are generalized quantum invarian…
-holonomy invariants of links
Calvin McPhail-Snyder
Quantum invariants like the colored Jones polynomial are algebraic in nature but are conjectured to detect important information about the geometry of links. In this thesis we expl…
Planar diagrams for local invariants of graphs in surfaces
Calvin McPhail-Snyder, Kyle A. Miller
In order to apply quantum topology methods to nonplanar graphs, we define a planar diagram category that describes the local topology of embeddings of graphs into surfaces. These \…