Volume 10, issue 3 (2006)

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

Volume 30
Issue 6, 2043–2429
Issue 5, 1611–2042
Issue 4, 1203–1610
Issue 3, 835–1201
Issue 2, 389–833
Issue 1, 1–388

Volume 29, 9 issues

Volume 28, 9 issues

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
 
Author index
To appear
 
Other MSP journals
Rational maps and string topology

Sadok Kallel and Paolo Salvatore

Geometry & Topology 10 (2006) 1579–1606
Bibliography
1 C P Boyer, B M Mann, J C Hurtubise, R J Milgram, The topology of the space of rational maps into generalized flag manifolds, Acta Math. 173 (1994) 61 MR1294670
2 M Chas, D Sullivan, String topology arXiv:math.GT/9911159
3 D Chataur, A bordism approach to string topology, Int. Math. Res. Not. (2005) 2829 MR2180465
4 F R Cohen, R L Cohen, B M Mann, R J Milgram, The topology of rational functions and divisors of surfaces, Acta Math. 166 (1991) 163 MR1097023
5 R L Cohen, Multiplicative properties of Atiyah duality, Homology Homotopy Appl. 6 (2004) 269 MR2076004
6 R L Cohen, V Godin, A polarized view of string topology, from: "Topology, geometry and quantum field theory", London Math. Soc. Lecture Note Ser. 308, Cambridge Univ. Press (2004) 127 MR2079373
7 R L Cohen, J D S Jones, A homotopy theoretic realization of string topology, Math. Ann. 324 (2002) 773 MR1942249
8 R L Cohen, J D S Jones, J Yan, The loop homology algebra of spheres and projective spaces, from: "Categorical decomposition techniques in algebraic topology (Isle of Skye, 2001)", Progr. Math. 215, Birkhäuser (2004) 77 MR2039760
9 Y Félix, L Menichi, J C Thomas, Gerstenhaber duality in Hochschild cohomology, J. Pure Appl. Algebra 199 (2005) 43 MR2134291
10 J Gravesen, On the topology of spaces of holomorphic maps, Acta Math. 162 (1989) 247 MR989398
11 K Gruher, P Salvatore, String topology in a general fiberwise setting and applications arXiv:math.AT/0602210
12 J W Havlicek, The cohomology of holomorphic self-maps of the Riemann sphere, Math. Z. 218 (1995) 179 MR1318152
13 P Hu, Higher string topology on general spaces arXiv:math.AT/0401081
14 J C Hurtubise, Configurations de particules et espaces de modules, Canad. Math. Bull. 38 (1995) 66 MR1319902
15 S Kallel, Configuration spaces and the topology of curves in projective space, from: "Topology, geometry, and algebra: interactions and new directions (Stanford, CA, 1999)", Contemp. Math. 279, Amer. Math. Soc. (2001) 151 MR1850746
16 S Kallel, P Salvatore, work in progress
17 J R Klein, Fiber products, Poincaré duality and $A_\infty$–ring spectra, Proc. Amer. Math. Soc. 134 (2006) 1825 MR2207500
18 A W Knapp, Lie groups beyond an introduction, Progress in Mathematics 140, Birkhäuser (1996) MR1399083
19 J Leborgne, String Spectral Sequences arXiv:math.AT/0409597
20 G Segal, The topology of spaces of rational functions, Acta Math. 143 (1979) 39 MR533892
21 R M Switzer, Algebraic topology—homotopy and homology, Classics in Mathematics, Springer (2002) MR1886843