2 citations · 5 across the 6 of their papers we have counts for
6 papers
Lusztig's special pieces conjecture
Daniel Juteau, Paul Levy, Eric Sommers +1
Let be a special nilpotent orbit in the Lie algebra of a simple algebraic group . We give two proofs of the result that every special piece ${\mathcal…
Proving the 6d a-theorem with the double affine Grassmannian
Marco Fazzi, Suvendu Giri, Paul Levy
This paper contains two results of independent interest, the first being more mathematical in nature whereas the second more physical. We first show that the hierarchy of Higgs bra…
Minimal special degenerations and duality
Daniel Juteau, Paul Levy, Eric Sommers
This paper includes the classification, in a simple Lie algebra, of the singularities of Slodowy slices between special nilpotent orbits that are adjacent in the partial order on n…
Local geometry of special pieces of nilpotent orbits
Baohua Fu, Daniel Juteau, Paul Levy +1
The nilpotent cone of a simple Lie algebra is partitioned into locally closed subvarieties called special pieces, each containing exactly one special orbit. Lusztig conjectured tha…
A new family of isolated symplectic singularities with trivial local fundamental group
Gwyn Bellamy, Cédric Bonnafé, Baohua Fu +3
We construct a new infinite family of 4-dimensional isolated symplectic singularities with trivial local fundamental group, answering a question of Beauville raised in 2000. Three…
Commuting Varieties and Cohomological Complexity
Nham V. Ngo, Paul D. Levy, Klemen Šivic
In this paper we determine, for all sufficiently large, the irreducible component(s) of maximal dimension of the variety of commuting -tuples of nilpotent elements of $\math…