43 citations · 56 across the 7 of their papers we have counts for
7 papers
The 4-fold Pandharipande--Thomas vertex
Henry Liu
We give a conjectural but full and explicit description of the (K-theoretic) equivariant vertex for Pandharipande--Thomas stable pairs on toric Calabi--Yau 4-folds, by identifying…
Multiplicative vertex algebras and quantum loop algebras
Henry Liu
We define a multiplicative version of vertex coalgebras and show that various equivariant K-theoretic constructions of Hall algebras (KHAs) also admit a compatible multiplicative v…
Equivariant K-theoretic enumerative invariants and wall-crossing formulae in abelian categories
Henry Liu
We provide a general framework for wall-crossing of equivariant K-theoretic enumerative invariants of appropriate moduli stacks , by lifting Joyce's homological unive…
A Representation-Theoretic Approach to -Characters
Henry Liu
We raise the question of whether (a slightly generalized notion of) -characters can be constructed purely representation-theoretically. In the main example of the quantum toroi…
Quasimaps and stable pairs
Henry Liu
We prove an equivalence between the Bryan--Steinberg theory of -stable pairs on and the theory of quasimaps to $X = \mathrm{Hilb}(\math…
Self-duality in quantum K-theory
Henry Liu
We describe an attempt to make quantum K-theory (of stable maps) more amenable to the self-duality/rigidity arguments of arXiv:1512.07363 in quasimap theory, by twisting the virtua…
No Laplacian Perfect State Transfer in Trees
Gabriel Coutinho, Henry Liu
We consider a system of qubits coupled via nearest-neighbour interaction governed by the Heisenberg Hamiltonian. We further suppose that all coupling constants are equal to . We…