5 citations · 11 across the 5 of their papers we have counts for
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The one-legged K-theoretic vertex of fourfolds from 3d gauge theory
Nicolo Piazzalunga
We present formulas for the K-theoretic Pandharipande-Thomas vertex of fourfolds, for the case of one non-trivial leg. They are obtained from computations in a three-dimensional su…
Global magniicence, or: 4G Networks
Nikita Nekrasov, Nicolo Piazzalunga
The global magnificent four theory is the homological version of a maximally supersymmetric -dimensional gauge theory on a Calabi-Yau fourfold fibered over a circle. In the…
From equivariant volumes to equivariant periods
Luca Cassia, Nicolo Piazzalunga, Maxim Zabzine
We consider generalizations of equivariant volumes of abelian GIT quotients obtained as partition functions of 1d, 2d, and 3d supersymmetric GLSM on , and $D^2 \times S^…
Shifts of prepotentials (with an appendix by Michele Vergne)
Nikita Nekrasov, Nicolo Piazzalunga, Maxim Zabzine
We study the dynamics of supersymmetric theories in five dimensions obtained by compactifications of M-theory on a Calabi-Yau threefold X. For a compact X, this is determined by th…
Playing with the index of M-theory
Michele Del Zotto, Nikita Nekrasov, Nicolo' Piazzalunga +1
Motivated by M-theory, we study rank n K-theoretic Donaldson-Thomas theory on a toric threefold X. In the presence of compact four-cycles, we discuss how to include the contributio…
Magnificent Four with Colors
Nikita Nekrasov, Nicolo' Piazzalunga
We study the rank N magnificent four theory, which is the supersymmetric localization of U(N) super-Yang-Mills theory with matter (a super-group U(N|N) gauge theory) on a Calabi-Ya…