24 citations · 78 across the 26 of their papers we have counts for
31 papers
Regular bundles on orbifolds II: ranks and obstructions
Enrique Becerra, Ernesto Lupercio
A regular complex bundle on an orbispace has fibres that are positive multiples of the stabilizers' regular representations. For stabilizers of order at most two, the sharp uniform…
Seven Coincidences and Sixty Symmetries
Ernesto Lupercio, Evgeniya Shaydurova
Motivated by John Baez's question about seven exceptional coincidences among binomial coefficients, we construct seven exterior-power identities for representations of . Their…
Dolbeault-Hochster Theory of Polytopal LVM Manifolds
Ludmil Katzarkov, Kyoung-Seog Lee, Ernesto Lupercio +1
We compute the Dolbeault cohomology of minimally stable polytopal LVM manifolds using a finite curvature complex. Let be the indispensable weight block. A canonical exact seque…
The 2-Adic Valuation of the Order of the All-Ones Class in the Sandpile Group of a Square
Turgay Akyar, Artem Beliakov, Konstantin Delchev +6
Place one grain at every nonsink vertex of the wired square, and let be the order of this operation in the sandpile group. Thus is the least positive …
Knots, black holes, databases, and birthdays: Collision entropy of knot invariants
Pedro Olivares-Sánchez, Edison Jessie Vázquez Gordillo, Radmila Sazdanović +5
A knot invariant is a fingerprint shared by equivalent knots: unequal values certify inequivalence, while equal values may conceal different knots. Under two rooted random-diagram…
Regular Bundles on Orbifolds: A Short Proof of Presentability
Enrique Becerra, Ernesto Lupercio
Let $\X$ be a Hausdorff second-countable smooth orbifold without boundary, possibly noncompact and ineffective. Suppose $\dim\X\leq n$ and for integers and $…