Volume 17, issue 3 (2013)

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

Volume 29
Issue 7, 3345–3919
Issue 6, 2783–3343
Issue 5, 2251–2782
Issue 4, 1693–2250
Issue 3, 1115–1691
Issue 2, 549–1114
Issue 1, 1–548

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
Intersections of quadrics, moment-angle manifolds and connected sums

Samuel Gitler and Santiago López de Medrano

Geometry & Topology 17 (2013) 1497–1534
Bibliography
1 D Allen, J La Luz, A counterexample to a conjecture of Bosio and Meersseman, from: "Toric topology" (editors M Harada, Y Karshon, M Masuda, T Panov), Contemp. Math. 460, Amer. Math. Soc. (2008) 37 MR2428347
2 A Bahri, M Bendersky, F R Cohen, S Gitler, The polyhedral product functor: a method of decomposition for moment-angle complexes, arrangements and related spaces, Adv. Math. 225 (2010) 1634 MR2673742
3 A Bahri, M Bendersky, F R Cohen, S Gitler, Cup-products for the polyhedral product functor, Math. Proc. Cambridge Philos. Soc. 153 (2012) 457 MR2990625
4 A Bahri, M Bendersky, F R Cohen, S Gitler, Operations on polyhedral products and a new topological construction of infinite families of toric manifolds (2012) arXiv:1011.0094v4
5 I V Baskakov, Cohomology of K–powers of spaces and the combinatorics of simplicial divisions, Uspekhi Mat. Nauk 57 (2002) 147 MR1992088
6 I V Baskakov, Triple Massey products in the cohomology of moment-angle complexes, Uspekhi Mat. Nauk 58 (2003) 199 MR2035723
7 F Bosio, Variétés complexes compactes : une généralisation de la construction de Meersseman et López de Medrano–Verjovsky, Ann. Inst. Fourier (Grenoble) 51 (2001) 1259 MR1860666
8 F Bosio, L Meersseman, Real quadrics in n, complex manifolds and convex polytopes, Acta Math. 197 (2006) 53 MR2285318
9 W Browder, Surgery on simply-connected manifolds, 65, Springer (1972) MR0358813
10 V M Buchstaber, T E Panov, Torus actions and their applications in topology and combinatorics, 24, Amer. Math. Soc. (2002) MR1897064
11 C Camacho, N H Kuiper, J Palis, The topology of holomorphic flows with singularity, Inst. Hautes Études Sci. Publ. Math. (1978) 5 MR516913
12 M Chaperon, Géométrie différentielle et singularités de systèmes dynamiques, 138–139, Société Mathématique de France (1986) 440 MR858911
13 M Chaperon, S López De Medrano, Birth of attracting compact invariant submanifolds diffeomorphic to moment-angle manifolds in generic families of dynamics, C. R. Math. Acad. Sci. Paris 346 (2008) 1099 MR2462056
14 M W Davis, T Januszkiewicz, Convex polytopes, Coxeter orbifolds and torus actions, Duke Math. J. 62 (1991) 417 MR1104531
15 G Denham, A I Suciu, Moment-angle complexes, monomial ideals and Massey products, Pure Appl. Math. Q. 3 (2007) 25 MR2330154
16 V Gasharov, I Peeva, V Welker, Coordinate subspace arrangements and monomial ideals, from: "Computational commutative algebra and combinatorics" (editor T Hibi), Adv. Stud. Pure Math. 33, Math. Soc. Japan (2002) 65 MR1890096
17 F González Acuña, Open Books, Lecture Notes, University of Iowa
18 B Grünbaum, Convex polytopes, 221, Springer (2003) MR1976856
19 A Haefliger, Differentiable imbeddings, Bull. Amer. Math. Soc. 67 (1961) 109 MR0123337
20 F Hirzebruch, private conversation (1986)
21 M A Kervaire, J W Milnor, Groups of homotopy spheres, I, Ann. of Math. 77 (1963) 504 MR0148075
22 J J Loeb, M Nicolau, On the complex geometry of a class of non-Kählerian manifolds, Israel J. Math. 110 (1999) 371 MR1750427
23 M de Longueville, The ring structure on the cohomology of coordinate subspace arrangements, Math. Z. 233 (2000) 553 MR1750937
24 D McGavran, Adjacent connected sums and torus actions, Trans. Amer. Math. Soc. 251 (1979) 235 MR531977
25 S López de Medrano, The space of Siegel leaves of a holomorphic vector field, from: "Holomorphic dynamics" (editors X Gómez-Mont, J Seade, A Verjovsky), Lecture Notes in Math. 1345, Springer (1988) 233 MR980961
26 S López de Medrano, Topology of the intersection of quadrics in n, from: "Algebraic topology" (editors G Carlsson, R L Cohen, H R Miller, D C Ravenel), Lecture Notes in Math. 1370, Springer (1989) 280 MR1000384
27 S López de Medrano, A Verjovsky, A new family of complex, compact, nonsymplectic manifolds, Bol. Soc. Brasil. Mat. 28 (1997) 253 MR1479504
28 L Meersseman, A new geometric construction of compact complex manifolds in any dimension, Math. Ann. 317 (2000) 79 MR1760670
29 L Meersseman, A Verjovsky, Holomorphic principal bundles over projective toric varieties, J. Reine Angew. Math. 572 (2004) 57 MR2076120
30 L Meersseman, A Verjovsky, Sur les variétés LV–M, from: "Singularities II" (editors J P Brasselet, J L Cisneros-Molina, D Massey, J Seade, B Teissier), Contemp. Math. 475, Amer. Math. Soc. (2008) 111 MR2454363
31 C T C Wall, Classification of (n 1)–connected 2n–manifolds, Ann. of Math. 75 (1962) 163 MR0145540
32 C T C Wall, Classification problems in differential topology VI, Classification of (s 1)–connected (2s + 1)–manifolds, Topology 6 (1967) 273 MR0216510
33 C T C Wall, Stability, pencils and polytopes, Bull. London Math. Soc. 12 (1980) 401 MR593960