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Steenrod squares on intersection cohomology and a conjecture of M Goresky and W Pardon

David Chataur, Martintxo Saralegi-Aranguren and Daniel Tanré

Algebraic & Geometric Topology 16 (2016) 1851–1904
Bibliography
1 C Berger, B Fresse, Combinatorial operad actions on cochains, Math. Proc. Cambridge Philos. Soc. 137 (2004) 135 MR2075046
2 A Borel, N Spaltenstein, Sheaf theoretic intersection cohomology, from: "Intersection cohomology", Progr. Math., Birkhäuser (1984) 47 MR788176
3 J P Brasselet, G Hector, M Saralegi, Théorème de de Rham pour les variétés stratifiées, Ann. Global Anal. Geom. 9 (1991) 211 MR1143404
4 D Chataur, M Saralegi-Aranguren, D Tanré, Intersection cohomology: simplicial blow-up and rational homotopy, preprint (2012) arXiv:1205.7057
5 G Friedman, Intersection homology of stratified fibrations and neighborhoods, Adv. Math. 215 (2007) 24 MR2354985
6 G Friedman, On the chain-level intersection pairing for PL pseudomanifolds, Homology, Homotopy Appl. 11 (2009) 261 MR2529162
7 G Friedman, Singular intersection homology, book in progress (2016)
8 G Friedman, J E McClure, Cup and cap products in intersection (co)homology, Adv. Math. 240 (2013) 383 MR3046315
9 R Godement, Topologie algébrique et théorie des faisceaux, 1252, Hermann (1958) MR0102797
10 M Goresky, R MacPherson, Intersection homology theory, Topology 19 (1980) 135 MR572580
11 M Goresky, R MacPherson, Intersection homology, II, Invent. Math. 72 (1983) 77 MR696691
12 M Goresky, W Pardon, Wu numbers of singular spaces, Topology 28 (1989) 325 MR1014465
13 R M Goresky, Intersection homology operations, Comment. Math. Helv. 59 (1984) 485 MR761809
14 M Hovey, Intersection homological algebra, from: "New topological contexts for Galois theory and algebraic geometry" (editors A Baker, B Richter), Geom. Topol. Monogr. 16 (2009) 133 MR2544388
15 H C King, Topological invariance of intersection homology without sheaves, Topology Appl. 20 (1985) 149 MR800845
16 F Kirwan, J Woolf, An introduction to intersection homology theory, Chapman & Hall/CRC (2006) MR2207421
17 S Mac Lane, Categories for the working mathematician, 5, Springer (1998) MR1712872
18 J P May, A general algebraic approach to Steenrod operations, from: "The Steenrod algebra and its applications" (editor F P Peterson), Lecture Notes in Mathematics 168, Springer (1970) 153 MR0281196
19 J W Milnor, J D Stasheff, Characteristic classes, 76, Princeton Univ. Press (1974) MR0440554
20 G Pollini, Intersection differential forms, Rend. Sem. Mat. Univ. Padova 113 (2005) 71 MR2168981
21 J P Serre, Homologie singulière des espaces fibrés : Applications, Ann. of Math. 54 (1951) 425 MR0045386
22 N E Steenrod, Products of cocycles and extensions of mappings, Ann. of Math. 48 (1947) 290 MR0022071