Geometry & Topology Volume 17, issue 3 (2013)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

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

DOI: 10.2140/gt.2013.17.1497

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 ℂⁿ, 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 ℝⁿ, 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