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math.SG2024
On the spectral capacity of submanifolds
Dylan Cant, Jun Zhang
The infimum of the spectral capacities of neighbourhoods of a nowhere coisotropic submanifold is shown to be zero. In contrast, neighbourhoods of a closed Lagrangian submanifold, a…
math.DG2024
Some Computational Results on Koszul-Vinberg Cochain Complexes
Hanwen Liu, Jun Zhang
An affine connection is said to be flat if its curvature tensor vanishes identically. Koszul-Vinberg (KV for abbreviation) cohomology has been invoked to study the deformation theo…
math.SG2024
Strong Arnold chord conjecture via normalized capacities
Jungsoo Kang, Jun Zhang
We show that every dynamically convex toric domain in admits a -neighborhood within the space of star-shaped domains of with the follo…