Zobrazeno 1 - 10
of 174
pro vyhledávání: '"Thurston, Dylan"'
Autor:
Babson, Eric, Duchin, Moon, Iseli, Annina, Poggi-Corradini, Pietro, Thurston, Dylan, Tucker-Foltz, Jamie
There are numerous randomized algorithms to generate spanning trees in a given ambient graph; several target the uniform distribution on trees (UST), while in practice the fastest and most frequently used draw random weights on the edges and then emp
Externí odkaz:
http://arxiv.org/abs/2407.20226
We find a single two-parameter skein relation on trivalent graphs, the quantum exceptional relation, that specializes to a skein relation associated to each exceptional Lie algebra (in the adjoint representation). If a slight strengthening of Deligne
Externí odkaz:
http://arxiv.org/abs/2402.03637
Bordered Floer homology is an invariant for 3-manifolds with boundary, defined by the authors in 2008. It extends the Heegaard Floer homology of closed 3-manifolds, defined in earlier work of Zolt\'an Szab\'o and the second author. In addition to its
Externí odkaz:
http://arxiv.org/abs/2307.16330
We define an invariant for bordered 3-manifolds with torus boundary, taking the form of a module over a weighted A-infinity algebra associated to a torus defined in previous work. On setting U=0, we obtain the bordered three-manifold invariants with
Externí odkaz:
http://arxiv.org/abs/2305.07754
Autor:
Pilgrim, Kevin M., Thurston, Dylan P.
For a hyperbolic rational map $f$ with connected Julia set, we give upper and lower bounds on the Ahlfors-regular conformal dimension of its Julia set $J_f$ from a family of energies of associated graph maps. Concretely, the dynamics of $f$ is faithf
Externí odkaz:
http://arxiv.org/abs/2112.09041
We describe a weighted $A_\infty$-algebra associated to the torus. We give a combinatorial construction of this algebra, and an abstract characterization. The abstract characterization also gives a relationship between our algebra and the wrapped Fuk
Externí odkaz:
http://arxiv.org/abs/2108.12488
Extending work of Saneblidze-Umble and others, we use diagonals for the associahedron and multiplihedron to define tensor products of A-infinity algebras, modules, algebra homomorphisms, and module morphisms, as well as to define a bimodule analogue
Externí odkaz:
http://arxiv.org/abs/2009.05222
Many natural real-valued functions of closed curves are known to extend continuously to the larger space of geodesic currents. For instance, the extension of length with respect to a fixed hyperbolic metric was a motivating example for the developmen
Externí odkaz:
http://arxiv.org/abs/2004.01550
We show that the if a sequence of normalized polynomials gives rise to a positive basis of the skein algebra of a surface, then it is sandwiched between the two types of Chebyshev polynomials. For the closed torus, we show that the normalized sequenc
Externí odkaz:
http://arxiv.org/abs/1908.05775
Autor:
Thurston, William P., Baik, Hyungryul, Gao, Yan, Hubbard, John H., Lei, Tan, Lindsey, Kathryn A., Thurston, Dylan P.
Degree-$d$-invariant laminations of the disk model the dynamical action of a degree-$d$ polynomial; such a lamination defines an equivalence relation on $S^1$ that corresponds to dynamical rays of an associated polynomial landing at the same multi-ac
Externí odkaz:
http://arxiv.org/abs/1906.05324