4 papers
6-valent vertex in the web category and its categorification
Jernej Grlj, Mikhail Khovanov, Haihan Wu +1
We define a -rotationally invariant 6-valent vertex in the web category. When , we provide a categorification of the 6-valent vertex using $\mathf…
Type skein modules and transparent elements
Vijay Higgins, Haihan Wu
We study skein modules using webs. We define multivariable analogues of Chebyshev polynomials in the Type setting and use them to construct transparent elements in the…
Webs and multiwebs for the symplectic group
Richard Kenyon, Haihan Wu
We define -multiwebs on planar graphs and discuss their relation with -webs. On a planar graph with a symplectic local system we define a matrix whose Pfaffian…
Webs for the Quantum Orthogonal Group
Elijah Bodish, Haihan Wu
We give a generators and relations presentation for the full monoidal subcategory of representations of the quantum orthogonal group generated by the quantum exterior powers of the…