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We define and study the totally nonnegative part of the Chow quotient of the Grassmannian, or more simply the nonnegative configuration space.
1904
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P. Galashin and T. Lam, Positroid varieties and cluster algebras, preprint, 2019; arXiv:1906.03501
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N. Arkani-Hamed, S. He, and T. Lam, Stringy canonical forms, preprint, 2019; arXiv:1912.08707
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J. Golden, A. B. Goncharov, M. Spradlin, C. Vergu and A. Volovich, Motivic Amplitudes and Cluster Coordinates, JHEP 1401, 091 (2014)
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S. Herrmann, M. Joswig, and D. Speyer, Dressians, Tropical Grassmannians and their rays, Forum Mathematicum 26 (2014), no. 6, 1853–1881
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D. Speyer and B. Sturmfels, The tropical Grassmannian. Adv. Geom. 4 (2004), no. 3, 389–411
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N. Arkani-Hamed, J. Bourjaily, F. Cachazo, A. Goncharov, A. Postnikov, and J. Trnka, Grassmannian geometry of scattering amplitudes. Cambridge University Press, Cambridge, 2016. ix+194 pp
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R. Karpman, Bridge graphs and Deodhar parametrizations for positroid varieties, J. Combin. Theory, Series A Volume 142, August 2016, 113–146
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T. Lam, Totally nonnegative Grassmannian and Grassmann polytopes. Current developments in mathematics 2014, 51–152, Int. Press, Somerville, MA, 2016
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N. Arkani-Hamed, Y. Bai, and T. Lam, Positive geometries and canonical forms, JHEP 2017, Article number: 39 (2017)
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S.B. Brodsky, C. Ceballos, and J.-P. Labbé, Cluster algebras of type D4, tropical planes, and the positive tropical Grassmannian. Beitr. Algebra Geom. 58 (2017), no. 1, 25–46
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G. Muller and D.E. Speyer, The twist for positroid varieties. Proc. Lond. Math. Soc. (3) 115 (2017), no. 5, 1014–1071
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F. Cachazo, N. Early, A. Guevara and S. Mizera, Scattering Equations: From Projective Spaces to Tropical Grassmannians, JHEP 1906, Article number: 39 (2019)
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N. Arkani-Hamed, Talk at Amplitudes 2019
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F. Cachazo and J. M. Rojas, Notes on Biadjoint Amplitudes, Trop G ( 3 , 7 ) G(3,7) and X ( 3 , 7 ) X(3,7) Scattering Equations, JHEP 2020, Article number: 176 (2020)
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J. Drummond, J. Foster, Ö. Gürdoǧan and C. Kalousios, Tropical Grassmannians, cluster algebras and scattering amplitudes, JHEP 2020, Article number: 146 (2020)
2020
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