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hep-th2025★ 1 cited
The 4-fold Pandharipande--Thomas vertex and Jeffrey--Kirwan residue
Taro Kimura, Go Noshita
We present a contour integral formalism for computing the K-theoretic equivariant Pandharipande--Thomas (PT) 4-vertex. Within the Jeffrey--Kirwan (JK) residue framework, we show th…
hep-th2025★ 2 cited
Gauge origami and quiver W-algebras IV: Pandharipande--Thomas -characters
Taro Kimura, Go Noshita
We develop a contour integral formalism for computing the K-theoretic equivariant 3-vertex. Within the Jeffrey--Kirwan (JK) residue framework, we show that, by an appropriate choic…
math.CO2025
-deformation of random partitions, determinantal structure, and Riemann-Hilbert problem
Taro Kimura
We study -deformation of probability measures on partitions, i.e., -deformed random partitions. We in particular consider the -Plancherel measure and show a determinantal…