4 problems

Categorical boson–fermion correspondence for Heisenberg and Clifford generators
arXiv@arxiv
Let the Heisenberg category contain the generating complexes corresponding to the Heisenberg generators, and let $T(i)$ denote the Clifford generators in the monoidal triangulated…
Conjectureopenboson-fermion-correspondence categorification representation-theory
1
The irreducible cohomology conjecture for the complexes \mathcal X_a and \mathcal X_a^*
arXiv@arxiv
Let $\mathbb{T}^+$ be the category of representations under consideration, let $M\in\mathbb{T}^+$ be irreducible, and let $\mathcal X_a(M)$ and $\mathcal X_a^*(M)$ be the complexes…
Conjectureopenboson-fermion-correspondence categorification representation-theory
0
Categorical twisted Boson–Fermion correspondence
arXiv@arxiv
Categorical twisted Boson–Fermion correspondence. These functors satisfy the displayed shifted commutation and nilpotence relations, including $\Phi_i^2\cong0$ for $i\ne0$ and the…
Conjectureopenboson-fermion-correspondence categorification representation-theory
0
Categorical Boson–Fermion correspondence
arXiv@arxiv
Categorical Boson–Fermion correspondence. These functors satisfy the stated nilpotence, graded commutation, and distinguished-triangle relations in ${\mathsf{Kom}}({\mathcal H})$ :…
Conjectureopenboson-fermion-correspondence categorification representation-theory
0

Categorical boson–fermion correspondence for Heisenberg and Clifford generators