3 papers
math.DG2025
The rolling tangent space, a forgotten vision on parallel transport and geodesics
Constant Pinteaux, Gijs M. Tuynman
Given a submanifold , a curve and tangent vectors along , we roll the tangent space along . In doing so, we get an imprint/trace of …
math.RT2019
The Super Orbit Challenge
Gijs M. Tuynman
When using the generally adopted definition of a super unitary representation, there are lots of super Lie groups for which the regular representation is not super unitary. I propo…
math-ph2003
Super Symplectic Geometry and Prequantization
Gijs M. Tuynman
We review the prequantization procedure in the context of super symplectic manifolds with a symplectic form which is not necessarily homogeneous. In developing the theory of non ho…