Quantum and affine Schubert calculus and Macdonald polynomials [PDF]
This thesis is on the theory of symmetric functions and quantum and affine Schubert calculus. Namely, it establishes that the theory of symmetric Macdonald polynomials aligns with quantum and affine Schubert calculus using a discovery that distinguished
Dalal, Avinash J.
core
Positivity in equivariant quantum Schubert calculus
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.
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Renal Cell Carcinoma Arising from Isthmus of Horseshoe K. [PDF]
Khaladkar SM +4 more
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Branching Schubert calculus and the Belkale-Kumar product on cohomology
In 2006, Belkale and Kumar define a new product on the cohomology of flag varieties and use this new product to give an improved solution to the eigencone problem for complex reductive groups.
Richmond, Edward +3 more
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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]
Kizub DA +10 more
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Ecology, Not Host Phylogeny, Shapes the Oral Microbiome in Closely Related Species. [PDF]
Moraitou M +5 more
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Gysin homomorphism and Schubert calculus [PDF]
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Understanding the microbial biogeography of ancient human dentitions to guide study design and interpretation. [PDF]
Fagernäs Z +8 more
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Peripheral T-Cells, B-Cells, and Monocytes from Multiple Sclerosis Patients Supplemented with High-Dose Vitamin D Show Distinct Changes in Gene Expression Profiles. [PDF]
Kim D +12 more
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Schubert, William -- 1979-91 -- Correspondence, Individual -- letter, 1982-04-16
Letter from Schubert, William K. to Sabin, Albert B.
Schubert, William K.
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