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Topological quantum field theory.
10
votes
Accepted
Do Frobenius subalgebras form a lattice?
No. Let $A$ be the cohomology algebra of a Riemann surface of genus $g \geq 3$, i.e. it has a basis of the form $1, x_1,\dots, x_{2g}, z$ with $1$ the unit, $x_i z=0=zx_i $ for all $i$, $$x_i x_j = \b …
14
votes
Accepted
Relationship between the TQFTs in Kapustin-Witten and Ben-Zvi-Sakellaridis-Venkatesh
A curve $C$ over $\mathbb F_q$ has dimension $3$ in this perspective (which is why you get a vector space) and a local field has dimension $2$ (which is why you get a category. So one only has to go u …