Geodesic
The Center of the Twisted Heisenberg Category, Factorial P-Schur Functions, and Transition Functions on the Schur Graph
Séminaire lotharingien de combinatoire, 80B (2018)

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We establish an isomorphism between the center EndHtw(1) of the twisted Heisenberg category of Cautis and Sussan and Γ, the subalgebra of the symmetric functions generated by odd power sums. We give a graphical description of Ivanov's factorial Schur P-functions as closed diagrams in Htw and show that the curl generators of EndHtw(1) correspond to two sets of generators of Γ discovered by Petrov which encode data related to up/down transition functions on the Schur graph. Our results are a twisted analogue of those of Kvinge, Licata, and Mitchell, which related the center of Khovanov's Heisenberg category to the algebra of shifted symmetric functions. 

@article{SLC_2018_80B_a75,
     author = {Henry Kvinge and Can Ozan O\u{g}uz, and Michael Reeks},
     title = {The {Center} of the {Twisted} {Heisenberg} {Category,} {Factorial} {P-Schur} {Functions,} and {Transition} {Functions} on the {Schur} {Graph}},
     journal = {S\'eminaire lotharingien de combinatoire},
     publisher = {mathdoc},
     volume = {80B},
     year = {2018},
     url = {http://geodesic.mathdoc.fr/item/SLC_2018_80B_a75/}
}
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Henry Kvinge; Can Ozan Oğuz,; Michael Reeks. The Center of the Twisted Heisenberg Category, Factorial P-Schur Functions, and Transition Functions on the Schur Graph. Séminaire lotharingien de combinatoire, 80B (2018). http://geodesic.mathdoc.fr/item/SLC_2018_80B_a75/