The finiteness conjecture for skein modules | Inventiones mathematicae Skip to main content
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We provide a proof of the following fact: if a complex scheme Y has Behrend function
constantly equal to a sign σ∈{±1}, then all of its components Z⊂ Y are generically reduced …

Modular functors are traditionally defined as systems of projective representations of
mapping class groups of surfaces that are compatible with gluing. They can formally be …

We compute the Azumaya loci of Kauffman-bracket skein algebras of closed surfaces at odd
roots of unity and provide partial results for open surfaces as well. As applications, we give …

The algebra $\mathcal {L} _ {g, n}(H) $ was introduced by Alekseev-Grosse-Schomerus and
Buffenoir-Roche and quantizes the character variety of the Riemann surface $\Sigma_ {g …

We relate the Kauffman bracket stated skein modules to two independent constructions of
quantum representation spaces of Habiro and Van der Veen with the second author. We …

We define a $\mathbb {C}(q) $-linear pivotal category $\mathbf {Web}(\mathfrak {sp} _ {2n})
$ and prove that it is equivalent to the full subcategory of finite-dimensional representations …

We give an explicit correspondence between stated skein algebras, which are defined via
explicit relations on stated tangles in [Costantino F., Lê TTQ, arXiv: 1907.11400], and …

We construct link invariants using the D2n subfactor planar algebras, and use these to prove
new identities relating certain specializations of colored Jones polynomials to …

We provide finite presentations for stated skein algebras and deduce that those algebras are
Koszul and that they are isomorphic to the quantum moduli algebras appearing in lattice …