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math.GT2026
On gluing and splitting series invariants of plumbed 3-manifolds
Allison H. Moore, Nicola Tarasca
We study series invariants for plumbed 3-manifolds and knot complements twisted by a root lattice. Our series recover recent results of Gukov-Pei-Putrov-Vafa, Gukov-Manolescu, Park…
math.GT2026
Root lattices and invariant series for plumbed 3-manifolds
Allison H. Moore, Nicola Tarasca
We study formal series which are invariants of plumbed 3-manifolds twisted by root lattices. These series extend the BPS -series recently defined in Gukov-Pei-P…
math.GT2024
Signature, slicing foams, and crossing changes of Klein graphs
Kenneth L. Baker, Allison H. Moore, Danielle O'Donnol +1
A totally oriented Klein graph is a trivalent spatial graph in the 3-sphere with a 3-coloring of its edges and an orientation on each bicolored link. A totally oriented Klein foam…