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This is a preliminary draft of Chapter 7 of our forthcoming textbook "Introduction to Cluster Algebras." Chapters 1-3 have been posted as arXiv:1608.05735.
The virtual cohomological dimension of the mapping class group of an orientable surface
Harer, J. L · 1986
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On triangulations of surfaces
Hatcher, A · 1991
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Quasicommuting families of quantum Plücker coordinates
Leclerc, B., and Zelevinsky, A · 1998
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Links associated with generic immersions of graphs
Kawamura, T · 2004
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An introduction to the dimer model
Kenyon, R · 2004
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Enumeration of totally positive Grassmann cells
Williams, L. K · 2005
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Moduli spaces of local systems and higher Teichmüller theory
Fock, V., and Goncharov, A · 2006
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On maximal weakly separated set-systems
Danilov, V. I., Karzanov, A. V., and Koshevoy, G. A · 2010
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KP solitons, total positivity, and cluster algebras
Kodama, Y., and Williams, L. K · 2011
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Dimer models and Calabi-Yau algebras
Broomhead, N · 2012
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Enumerative combinatorics. Vol. 1
Stanley, R. P · 2012
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Calabi-Yau algebras and weighted quiver polyhedra
Bocklandt, R · 2013
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Positroid varieties: juggling and geometry
Knutson, A., Lam, T., and Speyer, D. E · 2013
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KP solitons and total positivity for the Grassmannian
Kodama, Y., and Williams, L · 2014
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Weak separation and plabic graphs
Oh, S., Postnikov, A., and Speyer, D. E · 2015
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Grassmannian geometry of scattering amplitudes
Arkani-Hamed, N., Bourjaily, J., Cachazo, F., Goncharov, A., Postnikov, A., and Trnka, J · 2016
A positive Grassmannian analogue of the permutohedron
Williams, L. K · 2016
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Positively oriented matroids are realizable
Ardila, F., Rincón, F., and Williams, L · 2017
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Links in the complex of weakly separated collections
Oh, S. H., and Speyer, D. E · 2017
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Plabic graphs and zonotopal tilings
Galashin, P · 2018
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Positive Grassmannian and polyhedral subdivisions
Postnikov, A · 2018
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Universal quivers
Fomin, S., Igusa, K., and Lee, K · 2021
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From weakly separated collections to matroid subdivisions
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From dominoes to hexagons
Thurston, D. P · 2016
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Introduction to Cluster Algebras. Chapter 7, version 2
Fomin, S., and Williams, L
Cited in the paper.
Total positivity, Grassmannians, and networks, arXiv:math/0609764
Postnikov, A
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Early, N · 2022
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Morsifications and mutations
Fomin, S., Pylyavskyy, P., Shustin, E., and Thurston, D · 2022
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