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Global analysis on PL-manifolds. (English) Zbl 0448.57007

MSC:
57Q99 PL-topology
58A99 General theory of differentiable manifolds
58A10 Differential forms in global analysis
58A12 de Rham theory in global analysis
58A14 Hodge theory in global analysis
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[1] Shmuel Agmon, Lectures on elliptic boundary value problems, Prepared for publication by B. Frank Jones, Jr. with the assistance of George W. Batten, Jr. Van Nostrand Mathematical Studies, No. 2, D. Van Nostrand Co., Inc., Princeton, N.J.-Toronto-London, 1965. · Zbl 0142.37401
[2] M. F. Atiyah and I. M. Singer, The index of elliptic operators. III, Ann. of Math. (2) 87 (1968), 546 – 604. · Zbl 0164.24301 · doi:10.2307/1970717 · doi.org
[3] Pierre Bidal and Georges de Rham, Les formes différentielles harmoniques, Comment. Math. Helv. 19 (1946), 1 – 49 (French). · Zbl 0063.00378 · doi:10.1007/BF02565944 · doi.org
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[9] Richard S. Palais, Seminar on the Atiyah-Singer index theorem, With contributions by M. F. Atiyah, A. Borel, E. E. Floyd, R. T. Seeley, W. Shih and R. Solovay. Annals of Mathematics Studies, No. 57, Princeton University Press, Princeton, N.J., 1965. · Zbl 0137.17002
[10] G. de Rham, Variétés différentiables, formes, currants, formes harmonique, Actualités Sci. Indus., no. 1222, Hermann, Paris, 1960. · Zbl 0089.08105
[11] I. M. Singer, Future extensions of index theory and elliptic operators, Prospects in mathematics (Proc. Sympos., Princeton Univ., Princeton, N.J., 1970) Princeton Univ. Press, Princeton, N.J., 1971, pp. 171 – 185. Ann. of Math. Studies, No. 70.
[12] Laurent Schwartz, Théorie des distributions, Publications de l’Institut de Mathématique de l’Université de Strasbourg, No. IX-X. Nouvelle édition, entiérement corrigée, refondue et augmentée, Hermann, Paris, 1966 (French). · Zbl 0962.46025
[13] D. Sullivan, Differential forms and the topology of manifolds, Proc. Tokyo Conf. on Manifolds, Univ. of Tokyo Press, Tokyo, 1973. · Zbl 0319.58005
[14] -, Geometric topology. I, M.I.T. Notes, 1969.
[15] Noboru Tanaka, A differential geometric study on strongly pseudo-convex manifolds, Kinokuniya Book-Store Co., Ltd., Tokyo, 1975. Lectures in Mathematics, Department of Mathematics, Kyoto University, No. 9. · Zbl 0331.53025
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