279 citations · 450 across the 25 of their papers we have counts for
28 papers
Quantitative towers in finite difference calculus approximating the continuum
R. Lawrence, N. Ranade, D. Sullivan
Multivector fields and differential forms at the continuum level have respectively two commutative associative products, a third composition product between them and various operat…
Complément to the Thurston 3D-Geometrization
Alice Kwon, Dennis Sullivan
Geometrization says `` any closed oriented three-manifold which is prime (not a connected sum) carries one of the eight Thurston geometries OR it has incompressible torus walls who…
Lattice Hydrodynamics
Dennis Sullivan
Using the combinatorics of two interpenetrating face centered cubic lattices together with the part of calculus naturally encoded in combinatorial topology, we construct from first…
Characters for Complex Bundles and their Connections
James Simons, Dennis Sullivan
The paper combines several fortunate mini miracles to achieve its two objectives. These were woven together in a several year's effort to answer a question raised by Iz Singer a de…
Generalized Euler classes, differential forms and commutative DGAs
Alexander Gorokhovsky, Dennis Sullivan, Zhizhang Xie
In the context of commutative differential graded algebras over , we show that an iteration of "odd spherical fibration" creates a "total space" commutative differential…
The Cumulant Bijection and Differential Forms
Nissim Ranade, Dennis Sullivan
According to Jae Suk Park, physicists use "canonical coordinate systems" to compute correlations in perturbative quantum field theories. One may interpret these canonical coordinat…