A combinatorial framework for discrete vector bundles with connection is introduced on simplicial complexes, with discrete curvature, gauge transformations, and flat connections computing twisted de Rham cohomology.
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Generalizes Landau-Ginzburg models of Dubrovin-Zhang form to Dynkin type A, develops a pole-collision comparison on Hurwitz space strata, and proves a prepotential structural result plus the Ma-Zuo conjecture for arbitrary rank and dimension.
An open-sourced Unified Autonomy Stack fuses LiDAR, radar, vision and inertial data with sampling-based planning and control barrier functions to deliver resilient autonomy on aerial and ground robots in challenging real-world settings.
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Discrete Vector Bundles with Connection
A combinatorial framework for discrete vector bundles with connection is introduced on simplicial complexes, with discrete curvature, gauge transformations, and flat connections computing twisted de Rham cohomology.
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Landau-Ginzburg models of generalised Dubrovin-Zhang form and pole collision: Dynkin-type A
Generalizes Landau-Ginzburg models of Dubrovin-Zhang form to Dynkin type A, develops a pole-collision comparison on Hurwitz space strata, and proves a prepotential structural result plus the Ma-Zuo conjecture for arbitrary rank and dimension.
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The Unified Autonomy Stack: Toward a Blueprint for Generalizable Robot Autonomy
An open-sourced Unified Autonomy Stack fuses LiDAR, radar, vision and inertial data with sampling-based planning and control barrier functions to deliver resilient autonomy on aerial and ground robots in challenging real-world settings.