Groupe de Travail de Géométrie Algébrique DIJON - NANCY

Références générales

• Beilinson, Bernstein, Deligne, Faisceaux pervers, Astérisque 100.
• Dimca, Sheaves in topology, Spinger
• Brylinski, (Co)-homologie d'intersection et faisceaux pervers, Séminaire Bourbaki, 24 (1981-1982), Exposé No. 585
• McPherson, Intersection Homology and Perverse Sheaves
• Klingler, Intersection homology and perverse sheaves (cours de M2)
• Friedman, An introduction to intersection cohomology with general perversity functions, MSRI (2009) disponible sur le site de l'auteur

Articles historiques sur la cohomologie d'intersection

• Goresky, McPherson, Intersection Homology Theory, Topology 19, pp 135-162, doi:10.1016/0040-9383(80)90003-8
• Goresky, McPherson, Intersection Homology II, Inv. Math. 71, pp 77-129, disponible sur le site de l'auteur
• King, Topological invariance of intersection homology without sheaves, Topology and its Applications 20-2 (1985), 149-160, doi : 10.1016/0166-8641(85)90075-6

Livres

• Borel et al., Intersection cohomology
• Kirwan, Woolf, An introduction to intersection cohomology
• Banagl, Topological invariants of stratified spaces

Articles sur la cohomologie L2 et la cohomologie d'intersection

• MacPherson, Global questions in the topology of singular spaces, Proc. Internat. Congress Mathematicians (Warszawa, 1983), 1 , Elsevier (1984) pp. 213-236
• Cheeger, Goresky, MacPherson, L2-cohomology and intersection homology of singular algebraic varieties, S.T. Yau (ed.) , Seminar on differential geometry , Princeton Univ. Press (1982) pp. 303-340 MR0645745 Zbl 0503.14008
• McPherson, L2 cohomology is intersection cohomology, et ses références : Looijenga, Compositio 67 (1988), et Zucker, Inventiones 70 (1982) et Compositio 59 (1986)
• Dai, An introduction to L2 cohomology, MSRI publications 58 (2010), sur le site de l'auteur
• Nagase, Hodge theory of singular algebraic curves, Proc AMS 108 (1990), lien
• Nagase, Remarks on the L2-Dolbeault Cohomology Groups of singular algebraic surfaces and curves, Publ RIMS 26 (1990)
• Pardon, Stern, Pure SH on the L2 cohomology of varieties with isolated singularities, disponible sur le site de l'auteur

Autres applications

• Friedman, Intersection Alexander polynomials, 2002, lien arXiv