Results 1 to 10 of about 18,996,276 (90)
Hyperdescent and étale K-theory [PDF]
Inventiones Mathematicae, 2019 We study the étale sheafification of algebraic K-theory, called étale K-theory. Our main results show that étale K-theory is very close to a noncommutative invariant called Selmer K-theory, which is defined at the level of categories.
Dustin Clausen, A. Mathew
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On the K-theory of pullbacks [PDF]
Annals of Mathematics, 2018 To any pullback square of ring spectra we associate a new ring spectrum and use it to describe the failure of excision in algebraic $K$-theory. The construction of this new ring spectrum is categorical and hence allows to determine the failure of ...
Markus Land, Georg Tamme
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Quantum K-theory of quiver varieties and many-body systems [PDF]
Selecta Mathematica, 2017 We define quantum equivariant K-theory of Nakajima quiver varieties. We discuss type A in detail as well as its connections with quantum XXZ spin chains and trigonometric Ruijsenaars-Schneider models. Finally we study a limit which produces a K-theoretic
P. Koroteev +3 more
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A 3d gauge theory/quantum K-theory correspondence [PDF]
Advances in Theoretical and Mathematical Physics, 2018 The 2d gauged linear sigma model (GLSM) gives a UV model for quantum cohomology on a Kahler manifold X, which is reproduced in the IR limit. We propose and explore a 3d lift of this correspondence, where the UV model is the N=2 supersymmetric 3d gauge ...
H. Jockers, P. Mayr
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Theorem of the Heart in Negative K-Theory for Weight Structures [PDF]
Documenta Mathematica, 2017 We construct the strong weight complex functor (in the sense of Bondarko) for a stable infinity-category $\underline{C}$ equipped with a bounded weight structure $w$.
V. Sosnilo
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K-theory of valuation rings [PDF]
Compositio Mathematica, 2018 We prove several results showing that the algebraic $K$-theory of valuation rings behaves as though such rings were regular Noetherian, in particular an analogue of the Geisser–Levine theorem.
S. Kelly, M. Morrow
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Bulk spectrum and K-theory for infinite-area topological quasicrystals [PDF]
Journal of Mathematics and Physics, 2018 The bulk spectrum of a possible Chern insulator on a quasicrystalline lattice is examined. The effect of being a 2D insulator seems to override any fractal properties in the spectrum.
T. Loring
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On very effective hermitian K-theory [PDF]
Mathematische Zeitschrift, 2017 We argue that the very effective cover of hermitian K-theory in the sense of motivic homotopy theory is a convenient algebro-geometric generalization of the connective real topological K-theory spectrum.
A. Ananyevskiy, O. Röndigs, P. Østvær
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Baxter Q-operator from quantum K-theory [PDF]
Advances in Mathematics, 2016 We define and study the quantum equivariant K-theory of cotangent bundles over Grassmannians. For every tautological bundle in the K-theory we define its one-parametric deformation, referred to as quantum tautological bundle.
Petr P. Pushkar, A. Smirnov, A. Zeitlin
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A Chevalley formula for the equivariant quantum $K$-theory of cominuscule varieties [PDF]
Algebraic Geometry, 2016 We prove a type-uniform Chevalley formula for multiplication with divisor classes in the equivariant quantum $K$-theory ring of any cominuscule flag variety $G/P$. We also prove that multiplication with divisor classes determines the equivariant quantum $
A. Buch +3 more
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