3 papers
math.SG2026
Legendrian Reidemeister moves for the convex surface projection
Zijian Rong
We prove a Legendrian Reidemeister theorem for Legendrian knots in thickened convex surfaces.
math.SG2026
Invariants of Legendrian knots in thickened convex surfaces
Nancy Mae Eagles, Zijian Rong
We define a differential graded algebra associated to Legendrian knots in thickened convex surfaces . The algebra is defined in the same spirit as the Chekanov-…
math.CO2020
Filtering cohomology of ordinary and Lagrangian Grassmannians
The 2020 Polymath Jr. REU "q-binomials, the Grassmannian group", : +31
This paper studies, for a positive integer , the subalgebra of the cohomology ring of the complex Grassmannians generated by the elements of degree at most . We build in two…