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As an editor, the senior author of this paper is well known for his very commendable effort to make authors write informative introductions to their papers. It is a pleasure to report that this paper lives up to such a demand, and thus to be able to quote briefly from the introduction without feeling that as a reviewer one ought do better: ``In this ...
Ranicki, Andrew, Yamasaki, Masayuki
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D-branes, Orientifolds and K-theory [PDF]
The complete D-brane spectrum in ZZ[squared] orientifolds is computed. Stable non-BPS D-branes with both integral and torsion charges are found.
Bertolini, M. +5 more
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EQUIVARIANT $K$ -THEORY OF GRASSMANNIANS
We address a unification of the Schubert calculus problems solved by Buch [A Littlewood–Richardson rule for the $K$ -theory of Grassmannians, Acta Math. 189 (
OLIVER PECHENIK, ALEXANDER YONG
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Anisotropic Fractional Cosmology: K-Essence Theory
In the particular configuration of the scalar field k-essence in the Wheeler–DeWitt quantum equation, for some age in the Bianchi type I anisotropic cosmological model, a fractional differential equation for the scalar field arises naturally.
José Socorro +2 more
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Abstract We compare several notions of equivariant formality for complex K-theory with respect to a compact Lie group action, including surjectivity of the forgetful map and the weak equivariant formality of Harada–Landweber, and find all are equivalent under standard hypotheses.
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A decomposition of equivariant K-theory in twisted equivariant K-theories [PDF]
For [Formula: see text] a finite group and [Formula: see text] a [Formula: see text]-space on which a normal subgroup [Formula: see text] acts trivially, we show that the [Formula: see text]-equivariant [Formula: see text]-theory of [Formula: see text] decomposes as a direct sum of twisted equivariant [Formula: see text]-theories of [Formula: see text]
Gómez, J., Uribe, B.
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Genomic Tableaux and Combinatorial $K$-Theory [PDF]
We introduce genomic tableaux, with applications to Schubert calculus. We report a combinatorial rule for structure coefficients in the torus-equivariant $K$-theory of Grassmannians for the basis of Schubert structure sheaves.
Oliver Pechenik, Alexander Yong
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Integrated approach in preschool education: a fashion or a requirement of the times?
The article discusses the problem of implementing an integrated approach in the system of preschool education at the present stage both in preschool education institutions and in the system of higher school. Why did it become necessary to reconsider this
Bogush Alla
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In this paper we introduce the notion of an assembler, which formally encodes "cutting and pasting" data. An assembler has an associated $K$-theory spectrum, in which $π_0$ is the free abelian group of objects of the assembler modulo the cutting and pasting relations, and in which the higher homotopy groups encode further geometric invariants. The goal
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