Academic literature on the topic 'K-theoretic Nekrasov partition function'

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Journal articles on the topic "K-theoretic Nekrasov partition function"

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Choy, Jaeyoo. "Geometry of Uhlenbeck partial compactification of orthogonal instanton spaces and the K-theoretic Nekrasov partition functions." Advances in Mathematics 330 (May 2018): 763–809. http://dx.doi.org/10.1016/j.aim.2018.03.037.

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Choy, Jaeyoo. "Moduli spaces of framed symplectic and orthogonal bundles on P2 and the K-theoretic Nekrasov partition functions." Journal of Geometry and Physics 106 (August 2016): 284–304. http://dx.doi.org/10.1016/j.geomphys.2016.04.011.

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Choy, Jaeyoo. "Corrigendum and addendum to “Moduli spaces of framed symplectic and orthogonal bundles on P2 and the K-theoretic Nekrasov partition functions” [J. Geom. Phys. 106 (2016) 284–304]." Journal of Geometry and Physics 110 (December 2016): 343–47. http://dx.doi.org/10.1016/j.geomphys.2016.09.003.

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Nakajima, Hiraku, and Kota Yoshioka. "Instanton counting on blowup. II. K-theoretic partition function." Transformation Groups 10, no. 3-4 (2005): 489–519. http://dx.doi.org/10.1007/s00031-005-0406-0.

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Moore, Gregory, and Natalia Saulina. "T-duality, and the K-theoretic partition function of type IIA superstring theory." Nuclear Physics B 670, no. 1-2 (2003): 27–89. http://dx.doi.org/10.1016/j.nuclphysb.2003.07.028.

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Evans, David E., and Terry Gannon. "Modular Invariants and Twisted Equivariant K-theory II: Dynkin diagram symmetries." Journal of K-Theory 12, no. 2 (2013): 273–330. http://dx.doi.org/10.1017/is013003008jkt221.

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AbstractThe most basic structure of chiral conformal field theory (CFT) is the Verlinde ring. Freed-Hopkins-Teleman have expressed the Verlinde ring for the CFT's associated to loop groups, as twisted equivariant K-theory. We build on their work to express K-theoretically the structures of full CFT. In particular, the modular invariant partition functions (which essentially parametrise the possible full CFTs) have a rich interpretation within von Neumann algebras (subfactors), which has led to the developments of structures of full CFT such as the full system (fusion ring of defect lines), nim
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Giannakis, Dimitrios, and Andrew J. Majda. "Quantifying the Predictive Skill in Long-Range Forecasting. Part I: Coarse-Grained Predictions in a Simple Ocean Model." Journal of Climate 25, no. 6 (2012): 1793–813. http://dx.doi.org/10.1175/2011jcli4143.1.

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Abstract An information-theoretic framework is developed to assess the long-range coarse-grained predictive skill in a perfect-model environment. Central to the scheme is the notion that long-range forecasting involves regimes; specifically, that the appropriate initial data for ensemble prediction is the affiliation of the system to a coarse-grained partition of phase space representing regimes. The corresponding ensemble prediction probabilities, which are computable using ergodic signals from the model, are then used to quantify through relative entropy the information beyond climatology in
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Pétréolle, Mathias. "A Nekrasov-Okounkov type formula for affine $\widetilde{C}$." Discrete Mathematics & Theoretical Computer Science DMTCS Proceedings, 27th..., Proceedings (2015). http://dx.doi.org/10.46298/dmtcs.2498.

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International audience In 2008, Han rediscovered an expansion of powers of Dedekind $\eta$ function due to Nekrasov and Okounkov by using Macdonald's identity in type $\widetilde{A}$. In this paper, we obtain new combinatorial expansions of powers of $\eta$, in terms of partition hook lengths, by using Macdonald's identity in type $\widetilde{C}$ and a new bijection. As applications, we derive a symplectic hook formula and a relation between Macdonald's identities in types $\widetilde{C}$, $\widetilde{B}$, and $\widetilde{BC}$. En 2008, Han a redécouvert un développement des puissances de la f
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Fasola, Nadir, Sergej Monavari, and Andrea T. Ricolfi. "Higher rank K-theoretic Donaldson-Thomas Theory of points." Forum of Mathematics, Sigma 9 (2021). http://dx.doi.org/10.1017/fms.2021.4.

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AbstractWe exploit the critical structure on the Quot scheme$\text {Quot}_{{{\mathbb {A}}}^3}({\mathscr {O}}^{\oplus r}\!,n)$, in particular the associated symmetric obstruction theory, in order to study rankr K-theoreticDonaldson-Thomas (DT) invariants of the local Calabi-Yau$3$-fold${{\mathbb {A}}}^3$. We compute the associated partition function as a plethystic exponential, proving a conjecture proposed in string theory by Awata-Kanno and Benini-Bonelli-Poggi-Tanzini. A crucial step in the proof is the fact, nontrival if$r>1$, that the invariants do not depend on the equivariant paramete
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Billey, Sara C., Brendon Rhoades, and Vasu Tewari. "Boolean Product Polynomials, Schur Positivity, and Chern Plethysm." International Mathematics Research Notices, October 20, 2020. http://dx.doi.org/10.1093/imrn/rnz261.

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Abstract Let $k \leq n$ be positive integers, and let $X_n = (x_1, \dots , x_n)$ be a list of $n$ variables. The Boolean product polynomial $B_{n,k}(X_n)$ is the product of the linear forms $\sum _{i \in S} x_i$, where $S$ ranges over all $k$-element subsets of $\{1, 2, \dots , n\}$. We prove that Boolean product polynomials are Schur positive. We do this via a new method of proving Schur positivity using vector bundles and a symmetric function operation we call Chern plethysm. This gives a geometric method for producing a vast array of Schur positive polynomials whose Schur positivity lacks (
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Dissertations / Theses on the topic "K-theoretic Nekrasov partition function"

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Choy, Jaeyoo. "Moduli spaces of framed symplectic and orthogonal bundles on P2 and the K-theoretic Nekrasov partition functions." 京都大学 (Kyoto University), 2015. http://hdl.handle.net/2433/198873.

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