Geometry & Topology Volume 22, issue 6 (2018)

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Phase tropical hypersurfaces

Gabriel Kerr and Ilia Zharkov

Geometry & Topology 22 (2018) 3287–3320

DOI: 10.2140/gt.2018.22.3287

Bibliography

1	A Björner, Posets, regular CW complexes and Bruhat order, European J. Combin. 5 (1984) 7 MR746039
2	R Forman, Morse theory for cell complexes, Adv. Math. 134 (1998) 90 MR1612391
3	I M Gel’fand, M M Kapranov, A V Zelevinsky, Discriminants, resultants, and multidimensional determinants, Birkhäuser (1994) MR1264417
4	B Grünbaum, V P Sreedharan, An enumeration of simplicial 4–polytopes with 8 vertices, J. Combinatorial Theory 2 (1967) 437 MR0215182
5	Y R Kim, M Nisse, Geometry and a natural symplectic structure of phase tropical hypersurfaces, preprint (2016) arXiv:1609.02181
6	R C Kirby, L C Siebenmann, Foundational essays on topological manifolds, smoothings, and triangulations, 88, Princeton Univ. Press (1977) MR0645390
7	A T Lundell, S Weingram, The topology of CW complexes, Van Nostrand (1969)
8	D Maclagan, B Sturmfels, Introduction to tropical geometry, 161, Amer. Math. Soc. (2015) MR3287221
9	G Mikhalkin, Decomposition into pairs-of-pants for complex algebraic hypersurfaces, Topology 43 (2004) 1035 MR2079993
10	M Nisse, F Sottile, Non-Archimedean coamoebae, from: "Tropical and non-Archimedean geometry" (editors O Amini, M Baker, X Faber), Contemp. Math. 605, Amer. Math. Soc. (2013) 73 MR3204268
11	N Sheridan, On the homological mirror symmetry conjecture for pairs of pants, J. Differential Geom. 89 (2011) 271 MR2863919
12	O Viro, Gluing algebraic hypersurfaces, removing of singularities and constructions of curves, from: "Tezisy Leningradskoj mezhdunarodnoj topologicheskoj konferencii" (1983) 149
13	O Y Viro, On basic concepts of tropical geometry, Tr. Mat. Inst. Steklova 273 (2011) 271 MR2893551