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pro vyhledávání: '"Sawin, Stephen F."'
Autor:
Fine, Dana S., Sawin, Stephen F.
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. However, attempts to generalize this, for instance to non-quadratic
Externí odkaz:
http://arxiv.org/abs/1805.00399
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 invariant arising from Chern-Simons filed theory for the same Lie algebra and
Externí odkaz:
http://arxiv.org/abs/1701.01423
Autor:
Sawin, Stephen F.
For an arbitrary simple Lie algebra $\g$ and an arbitrary root of unity $q,$ the closed subsets of the Weyl alcove of the quantum group $U_q(\g)$ are classified. Here a closed subset is a set such that if any two weights in the Weyl alcove are in the
Externí odkaz:
http://arxiv.org/abs/math/0503692
Autor:
Sawin, Stephen F.
For a finite-dimensional (but possibly noncompact) symplectic manifold with a compact group acting with a proper moment map, we show that the square of the moment map is an equivariantly perfect Morse function in the sense of Kirwan, and that the set
Externí odkaz:
http://arxiv.org/abs/math/0503385
Autor:
Sawin, Stephen F.
For each compact, simple, simply-connected Lie group and each integer level we construct a modular tensor category from a quotient of a certain subcategory of the category of representations of the corresponding quantum group. We determine when at fr
Externí odkaz:
http://arxiv.org/abs/math/0308281
Autor:
Sawin, Stephen F.
A version of Kirby calculus for spin and framed three-manifolds is given and is used to construct invariants of spin and framed three-manifolds in two situations. The first is ribbon *-categories which possess odd degenerate objects. This case includ
Externí odkaz:
http://arxiv.org/abs/math/9910106
Autor:
Sawin, Stephen F.
The quotient process of M\"uger and Brugui\`eres is used to construct modular categories and TQFTs out of closed subsets of the Weyl alcove of a simple Lie algebra. In particular it is determined at which levels closed subsets associated to nonsimply
Externí odkaz:
http://arxiv.org/abs/math/9905010
Akademický článek
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Autor:
Sawin, Stephen F.1 (AUTHOR) ssawin@fairfield.edu
Publikováno v:
Journal of Knot Theory & Its Ramifications. Aug2023, p1. 26p.
Autor:
Sawin, Stephen F.
Publikováno v:
In Differential Geometry and its Applications 2007 25(2):191-206