Canadian Journal of Mathematics
Tangle equations, the Jones conjecture, slopes of surfaces in tangle complements, and q-deformed rationals
We study systems of two-tangle equations which play an important role in the analysis of enzyme actions on DNA strands.We show that every system of framed tangle equations has at most one-framed rational solution. Furthermore, we show that the Jones un…
Canadian Journal of Mathematics
Category $\mathcal {O}$ for truncated current Lie algebras
In this paper, we study an analogue of the Bernstein–Gelfand–Gelfand category for truncated current Lie algebras attached to a complex semisimple Lie algebra. This category admits Verma modules and simple modules, each parametrized by the dual space …
Canadian Journal of Mathematics
Infinite families of Artin–Schreier function fields with any prescribed class group rank
We study the Galois module structure of the class groups of the Artin–Schreier extensions K over k of extension degree p, where is the rational function field and p is a prime number. The structure of the p-part of the ideal class group of K as a fin…
Canadian Journal of Mathematics
The second fundamental form of the real Kaehler submanifolds
Let , , be an isometric immersion of a Kaehler manifold into Euclidean space. Yan and Zheng (2013, Michigan Mathematical Journal 62, 421–441) conjectured that if the codimension is , then, along any connected component of an open dense subset of , the …