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62 papers · 1 filter
A topological theory of unoriented SL(4) foams
Mikhail Khovanov, Jozef H. Przytycki, Louis-Hadrien Robert +1
Unoriented SL(3) foams are two-dimensional CW complexes with generic singularities embedded in 3- and 4-manifolds. They naturally come up in the Kronheimer-Mrowka SO(3) gauge theor…
The Generalized Kauffman-Harary Conjecture is True
Rhea Palak Bakshi, Huizheng Guo, Gabriel Montoya-Vega +2
For a reduced alternating diagram of a knot with a prime determinant the Kauffman-Harary conjecture states that every non-trivial Fox -coloring of the knot assigns differen…
Pressure metrics for deformation spaces of quasifuchsian groups with parabolics
Harrison Bray, Richard Canary, Lien-Yung Kao
In this paper, we produce a mapping class group invariant pressure metric on the space QF(S) of quasiconformal deformations of a co-finite area Fuchsian group uniformizing a surfac…
On framings of links in 3-manifolds
Rhea Palak Bakshi, Dionne Ibarra, Gabriel Montoya-Vega +2
We show that the only way of changing the framing of a link by ambient isotopy in an oriented -manifold is when the manifold has a properly embedded non-separating . This c…
A Generalization of the Gram determinant of type A
Rhea Palak Bakshi, Dionne Ibarra, Sujoy Mukherjee +1
The Gram determinant of type was introduced by Lickorish in his work on invariants of 3 - manifolds. We generalize the theory of the Gram determinant of type by evaluating,…
Schur Multipliers and Second Quandle Homology
Rhea Palak Bakshi, Dionne Ibarra, Sujoy Mukherjee +2
We define a map from second quandle homology to the Schur multiplier and examine its properties. Furthermore, we express the second homology of Alexander quandles in terms of exter…