36 citations · 61 across the 19 of their papers we have counts for
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Causally Disjoint Discs: Another -operad
Ryan Grady
Motivated by (perturbative) quantum observables in Lorentzian signature we define a new operad: the operad of causally disjoint disks. In order to describe this operad we use the o…
Batalin-Vilkovisky quantization and the algebraic index
Ryan E. Grady, Qin Li, Si Li
Into a geometric setting, we import the physical interpretation of index theorems via semi-classical analysis in topological quantum field theory. We develop a direct relationship…
The genus as a projective volume form on the derived loop space
Ryan Grady
In the present work, we extend our previous work with Gwilliam by realizing as the projective volume form associated to the BV operator in our quanitization of a one-d…
One-dimensional Chern-Simons theory and the genus
Ryan Grady, Owen Gwilliam
We construct a Chern-Simons gauge theory for dg Lie and L-infinity algebras on any one-dimensional manifold and quantize this theory using the Batalin-Vilkovisky formalism and Cost…