Results 1 to 10 of about 69 (57)
Versatile P[acman] BAC libraries for transgenesis studies in Drosophila melanogaster. [PDF]
Nat Methods, 2009 We constructed Drosophila melanogaster BAC libraries with 21-kb and 83-kb inserts in the P(acman) system. Clones representing 12-fold coverage and encompassing more than 95percent of annotated genes were mapped onto the reference genome. These clones can
Venken KJ +11 more
europepmc +4 more sources
A curious identity that implies Faber's conjecture [PDF]
, 2022 We prove that a curious generating series identity implies Faber'sintersection number conjecture (by showing that it implies a combinatorialidentity already given in arXiv:1902.02742) and give a new proof of Faber'sconjecture by directly proving this ...
Garcia-Failde, E., Zagier, D.
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Spaces of Lorentzian and real stable polynomials are Euclidean balls
Forum of Mathematics, Sigma, 2021 We prove that projective spaces of Lorentzian and real stable polynomials are homeomorphic to Euclidean balls. This solves a conjecture of June Huh and the author.
Petter Brändén
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Stability of the Levi-Civita tensors and an Alon–Tarsi type theorem [PDF]
, 2023 We show that the Levi-Civita tensors are semistable in the sense of Geometric Invariant Theory, which is equivalent to an analogue of the Alon–Tarsi conjecture on Latin squares.
Yeliussizov, Damir
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Permutation module decomposition of the second cohomology of a regular semisimple Hessenberg variety
, 2021 Regular semisimple Hessenberg varieties admit actions of associated Weyl groups on their cohomology space of each degree. In this paper, we consider the module structure of the cohomology spaces of regular semisimple Hessenberg varieties of type $A$.
Cho, Soojin +2 more
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Schubert polynomial expansions revisited
Forum of Mathematics, SigmaWe give an elementary approach utilizing only the divided difference formalism for obtaining expansions of Schubert polynomials that are manifestly nonnegative, by studying solutions to the equation $\sum Y_i\partial _i=\operatorname {id}$ on ...
Philippe Nadeau +2 more
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A note on Bridgeland stability conditions and Catalan numbers
, 2021 In this short note, we describe a problem in algebraic geometry where the solution involves Catalan numbers. More specifically, we consider the derived category of coherent sheaves on an elliptic surface, and the action of its autoequivalence group on ...
Lo, Jason, Wong, Karissa
core
Equivariant Hodge polynomials of heavy/light moduli spaces
Forum of Mathematics, SigmaLet $\overline {\mathcal {M}}_{g, m|n}$ denote Hassett’s moduli space of weighted pointed stable curves of genus g for the heavy/light weight data $$\begin{align*}\left(1^{(m)}, 1/n^{(n)}\right),\end{align*}$$
Siddarth Kannan +2 more
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Δ–Springer varieties and Hall–Littlewood polynomials
Forum of Mathematics, SigmaThe $\Delta $ -Springer varieties are a generalization of Springer fibers introduced by Levinson, Woo and the author that have connections to the Delta Conjecture from algebraic combinatorics.
Sean T. Griffin
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An inverse Grassmannian Littlewood–Richardson rule and extensions
Forum of Mathematics, SigmaChow rings of flag varieties have bases of Schubert cycles $\sigma _u $ , indexed by permutations. A major problem of algebraic combinatorics is to give a positive combinatorial formula for the structure constants of this basis.
Oliver Pechenik, Anna Weigandt
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