46 citations · 89 across the 7 of their papers we have counts for
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math.CO2022
Gauge theory on graphs
Shuhan Jiang
In this paper, we provide the notions of connection -forms and curvature -forms on graphs. We prove a Weitzenböck formula for connection Laplacians in this setting. We also d…
math.DG2022★ 6 cited
Monoidally graded manifolds
Shuhan Jiang
We give a generalization of the theory of -graded manifolds to a theory of -graded manifolds, where is a commutative semi-ring with some ad…
math-ph2022★ 3 cited
Mathematical structures of cohomological field theories
Shuhan Jiang
A mathematical framework of cohomological field theories (CohFTs) is formulated in the language of bigraded manifolds. Algebraic properties of operators in CohFTs are studied. Meth…