Geometry & Topology Volume 11, issue 2 (2007)

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Spindle-configurations of skew lines

Roland Bacher and David Garber

Geometry & Topology 11 (2007) 1049–1081

DOI: 10.2140/gt.2007.11.1049

Bibliography

1	A Borobia, V F Mazurovskiĭ, On diagrams of configurations of 7 skew lines of $\mathbb{R}^3$, from: "Topology of real algebraic varieties and related topics", Amer. Math. Soc. Transl. Ser. 2 173, Amer. Math. Soc. (1996) 33 MR1384306
2	A Borobia, V F Mazurovskiĭ, Nonsingular configurations of $7$ lines of $\mathbb{R}\mathbb{P}^3$, J. Knot Theory Ramifications 6 (1997) 751 MR1483785
3	H Crapo, R Penne, Chirality and the isotopy classification of skew lines in projective $3$–space, Adv. Math. 103 (1994) 1 MR1257213
4	Y V Drobotukhina, An analogue of the Jones polynomial for links in $\mathbb{R}\mathbb{P}^3$ and a generalization of the Kauffman–Murasugi theorem, Algebra i Analiz 2 (1990) 171 MR1073213
5	B Grünbaum, Arrangements and spreads, American Mathematical Society Providence, R.I. (1972) MR0307027
6	S I Khashin, Projective theory of graphs, and configurations of lines, Zap. Nauchn. Sem. S.-Peterburg. Otdel. Mat. Inst. Steklov. (POMI) 231 (1995) 309 MR1434302
7	S I Khashin, V F Mazurovskiĭ, Stable equivalence of real projective configurations, from: "Topology of real algebraic varieties and related topics", Amer. Math. Soc. Transl. Ser. 2 173, Amer. Math. Soc. (1996) 119 MR1384313
8	C L Mallows, N A Sloane, Two-graphs, switching classes and Euler graphs are equal in number, SIAM J. Appl. Math. 28 (1975) 876 MR0427128
9	W S Massey, Algebraic topology: an introduction, Springer (1977) MR0448331
10	D Matei, A I Suciu, Homotopy types of complements of $2$–arrangements in $\mathbb{R}^4$, Topology 39 (2000) 61 MR1710992
11	V F Mazurovskiĭ, Configurations of six skew lines, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 167 (1988) 121, 191 MR964261
12	V F Mazurovskiĭ, Configurations of at most $6$ lines of $\mathbb{R}\mathbb{P}^3$, from: "Real algebraic geometry (Rennes, 1991)", Lecture Notes in Math. 1524, Springer (1992) 354 MR1226266
13	J Pach, R Pollack, E Welzl, Weaving patterns of lines and line segments in space, Algorithmica 9 (1993) 561 MR1221818
14	J J Seidel, Graphs and two-graphs, from: "Proceedings of the Fifth Southeastern Conference on Combinatorics, Graph Theory and Computing (Florida Atlantic Univ., Boca Raton, Fla., 1974)", Congressus Numerantium X, Utilitas Math. (1974) 125 MR0364028
15	N J A Sloane, The On-Line Encyclopedia of Integer Sequences
16	O Y Viro, Topological problems on lines and points of three-dimensional space, Dokl. Akad. Nauk SSSR 284 (1985) 1049 MR810058
17	O Y Viro, Y V Drobotukhina, Configurations of skew-lines, Algebra i Analiz 1 (1989) 222 arXiv:math.GT/0611374 MR1027468
18	T Zaslavsky, Glossary of signed and gain graphs and allied areas, Electron. J. Combin. 5 (1998) MR1744870