32 citations · 69 across the 19 of their papers we have counts for
19 papers
Centrality and the KRH Invariant
Louis H Kauffman, David Radford, Stephen Sawin
The purpose of this paper is to discuss the categorical structure for a method of defining quantum invariants of knots, links and three-manifolds. These invariants can be defined i…
Rigorous path integrals for supersymmetric quantum mechanics: completing the path integral proof of the index theorem
Dana S. Fine, Stephen F. Sawin
Many introductory courses in quantum mechanics include Feynman's time-slicing definition of the path integral, with a complete derivation of the propagator in the simplest of cases…
Relationship of the Hennings and Chern-Simons Invariants For Higher Rank Quantum Groups
Winston Cheong, Alexander Doser, McKinley Gray +1
The Hennings invariant for the small quantum group associated to an arbitrary simple Lie algebra at a root of unity is shown to agree with Jones- Witten-Reshetikhin-Turaev invarian…
Path integrals, SUSY QM and the Atiyah-Singer index theorem for twisted Dirac
Dana Fine, Stephen Sawin
Feynman's time-slicing construction approximates the path integral by a product, determined by a partition of a finite time interval, of approximate propagators. This paper formula…
South Pointing Chariot: An Invitation to Differential Geometry
Stephen Sawin
We introduce the south-pointing chariot, an intriguing mechanical device from ancient China. We use its ability to keep track of a global direction as it travels on an arbitrary pa…
Efficient Computation of the Kauffman Bracket
Lauren Ellenberg, Gabriella Newman, Stephen Sawin +1
This paper bounds the computational cost of computing the Kauffman bracket of a link in terms of the crossing number of that link. Specifically, it is shown that the image of a tan…