Volume 18, issue 6 (2018)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 24
Issue 9, 4731–5219
Issue 8, 4139–4730
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
A signature invariant for knotted Klein graphs

Catherine Gille and Louis-Hadrien Robert

Algebraic & Geometric Topology 18 (2018) 3719–3747
Bibliography
1 M F Atiyah, I M Singer, The index of elliptic operators, III, Ann. of Math. 87 (1968) 546 MR0236952
2 J S Calcut, J R Metcalf-Burton, Double branched covers of theta-curves, J. Knot Theory Ramifications 25 (2016) MR3530305
3 E Flapan, When topology meets chemistry: a topological look at molecular chirality, Cambridge Univ. Press (2000) MR1781912
4 P Gilmer, Real algebraic curves and link cobordism, Pacific J. Math. 153 (1992) 31 MR1145914
5 P M Gilmer, Link cobordism in rational homology 3–spheres, J. Knot Theory Ramifications 2 (1993) 285 MR1238876
6 C M Gordon, On the G–signature theorem in dimension four, from: "À la recherche de la topologie perdue" (editors L Guillou, A Marin), Progr. Math. 62, Birkhäuser (1986) 159 MR900251
7 C M Gordon, R A Litherland, On the signature of a link, Invent. Math. 47 (1978) 53 MR0500905
8 C M Gordon, R A Litherland, On a theorem of Murasugi, Pacific J. Math. 82 (1979) 69 MR549833
9 F Hirzebruch, The signature of ramified coverings, from: "Global analysis" (editors D C Spencer, S Iyanaga), Univ. Tokyo Press (1969) 253 MR0258060
10 B Jang, A Kronaeur, P Luitel, D Medici, S A Taylor, A Zupan, New examples of Brunnian theta graphs, Involve 9 (2016) 857 MR3541985
11 L H Kauffman, L R Taylor, Signature of links, Trans. Amer. Math. Soc. 216 (1976) 351 MR0388373
12 S Kinoshita, Alexander polynomials as isotopy invariants, I, Osaka Math. J. 10 (1958) 263 MR0102819
13 S Kinoshita, On elementary ideals of polyhedra in the 3–sphere, Pacific J. Math. 42 (1972) 89 MR0312485
14 R C Kirby, The topology of 4–manifolds, 1374, Springer (1989) MR1001966
15 P B Kronheimer, T S Mrowka, Tait colorings, and an instanton homology for webs and foams, preprint (2015) arXiv:1508.07205
16 C Lescop, An introduction to finite type invariants of knots and 3–manifolds defined by counting graph configurations, Vestn. Chelyab. Gos. Univ. Mat. Mekh. Inform. (2015) 67 MR3586621
17 L Lewark, Homologies de Khovanov–Rozansky, toiles nouées pondérées et genre lisse, PhD thesis, Université Paris 7 - Denis Diderot (2013)
18 J M Montesinos, Surgery on links and double branched covers of S3, from: "Knots, groups, and 3–manifolds (Papers dedicated to the memory of R H Fox)" (editor L P Neuwirth), Ann. of Math. Studies 84, Princeton Univ. Press (1975) 227 MR0380802
19 K Murasugi, On the signature of links, Topology 9 (1970) 283 MR0261585
20 J H Przytycki, A Yasuhara, Linking numbers in rational homology 3–spheres, cyclic branched covers and infinite cyclic covers, Trans. Amer. Math. Soc. 356 (2004) 3669 MR2055749
21 D Rolfsen, Knots and links, 7, Publish or Perish (1990) MR1277811
22 J Simon, Molecular graphs as topological objects in space, J. Comput. Chem. 8 (1987) 718 MR891813
23 D P Thurston, The algebra of knotted trivalent graphs and Turaev’s shadow world, from: "Invariants of knots and 3–manifolds" (editors T Ohtsuki, T Kohno, T Le, J Murakami, J Roberts, V Turaev), Geom. Topol. Monogr. 4, Geom. Topol. Publ. (2002) 337 MR2048108