Dental calculus as a proxy for animal microbiomes. [PDF]
Quat Int, 2023 Ozga AT, Ottoni C.
europepmc +1 more source
Affine insertion and Pieri rules for the affine Grassmannian
, 2007 We study combinatorial aspects of the Schubert calculus of the affine Grassmannian Gr associated with SL(n,C). Our main results are: 1) Pieri rules for the Schubert bases of H^*(Gr) and H_*(Gr), which expresses the product of a special Schubert class and
Lam, Thomas +3 more
core
Positivity in equivariant quantum Schubert calculus
American Journal of Mathematics, 2006 A conjecture of D. Peterson, proved by W. Graham, states that the structure constants of the ( T -)equivariant cohomology of a homogeneous space G/P satisfy a certain positivity property. In this paper we show that this positivity property holds in the more general situation of equivariant quantum cohomology.
openaire +2 more sources
The Algebra of Schubert Calculus
, 2004 A flexible unified framework for both classical and quantum Schubert calculus is proposed. It is based on a natural combinatorial approach relying on the Hasse-Schmidt extension of a certain family of pairwise commuting endomorphisms of an infinite free Z-module M to its exterior algebra.
openaire +2 more sources
Schubert calculus and equivariant cohomology of grassmannians
Advances in Mathematics, 2008 The paper under review is concerned with a subject of very much current interest, namely that regarding the determination of the constants structure of the equivariant cohomology of the Grassmannian variety \(G(k,n)\), parameterizing \(k\)-dimensional vector subspaces of \({\mathbb C}^n\).
openaire +1 more source
Renal Cell Carcinoma Arising from Isthmus of Horseshoe K. [PDF]
J Kidney Cancer VHL, 2023 Khaladkar SM +4 more
europepmc +1 more source
Noncommutative Schubert Calculus and Grothendieck Polynomials
Advances in Mathematics, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +1 more source
Risk factors for bisphosphonate-associated osteonecrosis of the jaw in the prospective randomized trial of adjuvant bisphosphonates for early-stage breast cancer (SWOG 0307). [PDF]
Support Care Cancer, 2021 Kizub DA +10 more
europepmc +1 more source
Ecology, Not Host Phylogeny, Shapes the Oral Microbiome in Closely Related Species. [PDF]
Mol Biol Evol, 2022 Moraitou M +5 more
europepmc +1 more source
Understanding the microbial biogeography of ancient human dentitions to guide study design and interpretation. [PDF]
FEMS Microbes, 2022 Fagernäs Z +8 more
europepmc +1 more source