Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Tham, Ying Hong"'
Autor:
Kwon, Alice, Tham, Ying Hong
For a hyperbolic fully augmented link in $S^3$, its \emph{FAL volume density} is the ratio of its volume to the number of augmentations. We show that the set of FAL volume densities is dense in $[2\voct, 10\vtet)$, but discrete in $[\voct,2\voct)$.
Externí odkaz:
http://arxiv.org/abs/2408.06565
The skein module for a d-dimensional manifold is a vector space spanned by embedded framed graphs decorated by a category A with suitable extra structure depending on the dimension d, modulo local relations which hold inside d-balls. For a full subca
Externí odkaz:
http://arxiv.org/abs/2407.09302
In work by Thistlethwaite and Tsvietkova, an alternative method for solving for the hyperbolic structure of the complement of a link in the 3-sphere is developed. We generalize this method to other classes of links, in particular links in the thicken
Externí odkaz:
http://arxiv.org/abs/2309.01282
Autor:
Kwon, Alice, Tham, Ying Hong
We present a topological construction that provides many examples of non-commutative Frobenius algebras that generalizes the well-known pair-of-pants. When applied to the solid torus, in conjunction with Crane-Yetter theory, we provide a topological
Externí odkaz:
http://arxiv.org/abs/2209.14251
Autor:
Guu, Jin-Cheng, Tham, Ying Hong
Given a braided fusion category $C$, it is well known that the natural map $C \boxtimes C^{bop} \to Z(C)$ from the square of $C$ to the (Drinfeld) categorical center $Z(C)$ is an equivalence if and only if $C$ is modular. However, it is not clear how
Externí odkaz:
http://arxiv.org/abs/2111.06919
Autor:
Tham, Ying Hong
The Crane-Yetter state sum is an invariant of closed 4-manifolds, defined in terms of a triangulation, based on 15-j symbols associated to the category A of representations over quantum sl2 (at a root of unity). In this thesis, we define the state su
Externí odkaz:
http://arxiv.org/abs/2108.13467
Autor:
Kwon, Alice, Tham, Ying Hong
Publikováno v:
Journal of Knot Theory and Its Ramifications Vol. 31, No. 04, 2250025 (2022)
For a hyperbolic link K in the thickened torus with no bigons, we show that there is a decomposition of the complement of a link L, obtained from augmenting K, into torihedra. We further decompose the torihedra into angled pyramids and finally angled
Externí odkaz:
http://arxiv.org/abs/2010.10601
Autor:
Tham, Ying Hong
Publikováno v:
Journal of Algebra Volume 608, 15 October 2022, Pages 573-616
The annulus comes with a "stacking" operation which glues two annuli into one. This provides a tensor product structure on the category of boundary values $Z_{\text{CY}}(\text{Ann})$ associated to the annulus in an extended Crane-Yetter TQFT. It is k
Externí odkaz:
http://arxiv.org/abs/2004.09611
Publikováno v:
Quantum Topology 13 (2022), no. 1, pp. 1-54
In [BK], it is shown that the Turaev-Viro invariants defined for a spherical fusion category $\mathcal{A}$ extends to invariants of 3-manifolds with corners. In [Kir], an equivalent formulation for the 2-1 part of the theory (2-manifolds with boundar
Externí odkaz:
http://arxiv.org/abs/2002.08571
Autor:
Tham, Ying Hong
Given a tensor category C, one constructs its Drinfeld center Z(C) which is a braided tensor category, having as objects pairs (X, lambda), where X in Obj(C) and lambda is a half-braiding. For a premodular category C, we construct a new category Zel(
Externí odkaz:
http://arxiv.org/abs/1904.09511