Relevant bibliographies by topics / GV invariant

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Academic literature on the topic 'GV invariant'

Author: Grafiati
Published: 1 April 2023
Last updated: 19 July 2025

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Journal articles on the topic "GV invariant"

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Machon, Thomas. "The Godbillon-Vey invariant as topological vorticity compression and obstruction to steady flow in ideal fluids." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2239 (2020): 20190851. http://dx.doi.org/10.1098/rspa.2019.0851.

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If the vorticity field of an ideal fluid is tangent to a foliation, additional conservation laws arise. For a class of zero-helicity vorticity fields, the Godbillon-Vey (GV) invariant of foliations is defined and is shown to be an invariant purely of the vorticity, becoming a higher-order helicity-type invariant of the flow. GV ≠ 0 gives both a global topological obstruction to steady flow and, in a particular form, a local obstruction. GV is interpreted as helical compression and stretching of vortex lines. Examples are given where the value of GV is determined by a set of distinguished close
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Natsume, Toshikazu. "THE C1-Invariance of the Godbillon-Vey Map in Analytical K-Theory." Canadian Journal of Mathematics 39, no. 5 (1987): 1210–22. http://dx.doi.org/10.4153/cjm-1987-061-8.

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An action α of a discrete group Γ on the circle S1 as orientation preserving C∞-diffeomorphisms gives rise to a foliation on the homotopy quotient S1Γ, and its Godbillon-Vey invariant is, by definition, a cohomology class of S1Γ([1]). This cohomology class naturally defines an additive map from the geometric K-group K0(S1, Γ) into C, through the Chern character from K0(S1, Γ) to H*(S1, Γ Q).Using cyclic cohomology, Connes constructed in [2] an additive map, GV(α), which we shall call the Godbillon-Vey map, from the K0-group of the reduced crossed product C*-algebra C(S1) ⋊ αΓ into C. He showed
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Villa, F., F. Villa, and A. Luccio. "Test of a High-gradient Low-emittance Electron Gun." Laser and Particle Beams 15, no. 3 (1997): 427–47. http://dx.doi.org/10.1017/s0263034600010983.

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A maximum electric field E = 2.65 GV/m with an accelerated electron current of 1 KA has been obtained, for pulse lengths of 130 ps, in an electron gun based on Pulse Power Technology. This is the highest accelerating field ever achieved in the presence of such a large current. Measurements of beam emittance and energy from 0.4 to 2.65 MeV show that the scaling of the invariant emittance with electric field and with beam current is consistent with theoretical predictions. A few applications of high-gradient acceleration are discussed.
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Gebremichael, Mekonnen, Thomas M. Over, and Witold F. Krajewski. "Comparison of the Scaling Characteristics of Rainfall Derived from Space-Based and Ground-Based Radar Observations." Journal of Hydrometeorology 7, no. 6 (2006): 1277–94. http://dx.doi.org/10.1175/jhm549.1.

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Abstract In view of the importance of tropical rainfall and the ubiquitous need for its estimates in climate modeling, the authors assess the ability of the Tropical Rainfall Measuring Mission (TRMM) precipitation radar (PR) to characterize the scaling characteristics of rainfall by comparing the derived results with those obtained from the ground-based radar (GR) data. The analysis is based on 59 months of PR and GR rain rates at three TRMM ground validation (GV) sites: Houston, Texas; Melbourne, Florida; and Kwajalein Atoll, Republic of the Marshall Islands. The authors consider spatial scal
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Cao, Yalong. "Genus zero Gopakumar–Vafa type invariants for Calabi–Yau 4-folds II: Fano 3-folds." Communications in Contemporary Mathematics 22, no. 07 (2019): 1950060. http://dx.doi.org/10.1142/s0219199719500603.

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In analogy with the Gopakumar–Vafa (GV) conjecture on Calabi–Yau (CY) 3-folds, Klemm and Pandharipande defined GV type invariants on Calabi–Yau 4-folds using Gromov–Witten theory and conjectured their integrality. In a joint work with Maulik and Toda, the author conjectured their genus zero invariants are [Formula: see text] invariants of one-dimensional stable sheaves. In this paper, we study this conjecture on the total space of canonical bundle of a Fano 3-fold [Formula: see text], which reduces to a relation between twisted GW and [Formula: see text] invariants on [Formula: see text]. Exam
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Yan, Y., and R. Tegen. "Scale Invariance of gA/gV in Lorentz-Scalar and Lorentz-Vector Quark Confining Potentials." International Journal of Modern Physics E 07, no. 05 (1998): 639–58. http://dx.doi.org/10.1142/s0218301398000361.

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We have systematically investigated a class of models which is characterised by Euler-Lagrange equations for the quark fields (Dirac equation) which contain bag-like (i.e. Lorentz-scalar) confining potentials and various Lorentz-vector (Coulomb-like and modified linear) confining potentials and report the results for gA/gV, [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and ρ(r) (quark annihilation density). It is demonstrated that the effects of the Lorentz-vector potential on low-energy observables are naturally limited in the baryon sector by the "Klein p
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Abass, Athraa A., Radhwan Alhashem, and Ghazwan Alhashem. "A cross-sectional study on the symptoms of depression in dental students in Kerbela." Technium BioChemMed 11 (November 29, 2024): 16–22. http://dx.doi.org/10.47577/biochemmed.v11i.12117.

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Doktorchik C, Patten S, Eastwood C, et al. Validation of a case definition for depression in administrative data against primary chart data as a reference standard. BMC Psychiatry. 2019;19(1):9. doi:10.1186/s12888-018-1990-6 Mancuso E, Sampogna G, Boiano A, Della Rocca B, Di Vincenzo M, Lapadula MV, Martinelli F, Lucci F, Luciano M. Biological correlates of treatment resistant depression: a review of peripheral biomarkers. Front Psychiatry. 2023 Oct 24; 14:1291176. doi: 10.3389/fpsyt.2023.1291176. PMID: 37941970; PMCID: PMC10628469. Machado MO, Veronese N, Sanches M, et al. The association of
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Webb, G. M., A. Prasad, S. C. Anco, and Q. Hu. "Godbillon-Vey helicity and magnetic helicity in magnetohydrodynamics." Journal of Plasma Physics 85, no. 5 (2019). http://dx.doi.org/10.1017/s0022377819000679.

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The Godbillon–Vey invariant occurs in homology theory, and algebraic topology, when conditions for a co-dimension 1, foliation of a three-dimensional manifold are satisfied. The magnetic Godbillon–Vey helicity invariant in magnetohydrodynamics (MHD) is a higher-order helicity invariant that occurs for flows in which the magnetic helicity density $h_{m}=\boldsymbol{A}\boldsymbol{\cdot }\boldsymbol{B}=\boldsymbol{A}\boldsymbol{\cdot }(\unicode[STIX]{x1D735}\times \boldsymbol{A})=0$ , where $\boldsymbol{A}$ is the magnetic vector potential and $\boldsymbol{B}$ is the magnetic induction. This pape
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Collinucci, Andrés, Andrea Sangiovanni, and Roberto Valandro. "Genus zero Gopakumar-Vafa invariants from open strings." Journal of High Energy Physics 2021, no. 9 (2021). http://dx.doi.org/10.1007/jhep09(2021)059.

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Abstract We propose a new way to compute the genus zero Gopakumar-Vafa invariants for two families of non-toric non-compact Calabi-Yau threefolds that admit simple flops: Reid’s Pagodas, and Laufer’s examples. We exploit the duality between M-theory on these threefolds, and IIA string theory with D6-branes and O6-planes. From this perspective, the GV invariants are detected as five-dimensional open string zero modes. We propose a definition for genus zero GV invariants for threefolds that do not admit small crepant resolutions. We find that in most cases, non-geometric T-brane data is required
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Nabijou, Navid, and Michael Wemyss. "GV and GW invariants via the enhanced movable cone." Moduli 1 (2024). http://dx.doi.org/10.1112/mod.2024.4.

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Abstract Given any smooth germ of a 3-fold flopping contraction, we first give a combinatorial characterisation of which Gopakumar–Vafa (GV) invariants are non-zero, by prescribing multiplicities to the walls in the movable cone. On the Gromov–Witten (GW) side, this allows us to describe, and even draw, the critical locus of the associated quantum potential. We prove that the critical locus is the infinite hyperplane arrangement of Iyama and the second author and, moreover, that the quantum potential can be reconstructed from a finite fundamental domain. We then iterate, obtaining a combinator
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Dissertations / Theses on the topic "GV invariant"

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SANGIOVANNI, ANDREA. "M-theory geometric engineering for 5d SCFTs and Gopakumar-Vafa invariants." Doctoral thesis, Università degli Studi di Trieste, 2022. http://hdl.handle.net/11368/3030926.

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M-theory compactified on non-compact singular Calabi-Yau threefolds is a fertile environment for both physical and mathematical considerations: on the one hand, by dimensional reduction on the threefolds, it gives rise to five-dimensional superconformal field theories (SCFTs), in the spirit of geometric engineering; on the other side, the dynamics of M2-branes wrapped on the extra dimensions encodes topological data of the threefolds, such as their Gopakumar-Vafa (GV) invariants. In this work, we tackle the analysis of M-theory on Calabi-Yau threefolds exhibiting terminal isolated singularitie
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