By L. Boi, D. Flament, Jean-Michel Salanskis

Within the first 1/2 the nineteenth century geometry replaced greatly, and withina century it helped to revolutionize either arithmetic and physics. It additionally placed the epistemology and the philosophy of technological know-how on a brand new footing. In this quantity a legitimate review of this improvement is given by way of top mathematicians, physicists, philosophers, and historians of technological know-how. This interdisciplinary technique offers this assortment a different personality. it may be utilized by scientists and scholars, however it additionally addresses a basic readership.

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77(1975):43–69, 78(1975):405–432, 79(1976):71–99. 3. -M. Bismut and J. Cheeger. Families index for manifolds with boundary, superconnections, and cones. I, II. J. Funct. , 89:313–363, 90:306–354, 1990. 4. -M. Bismut and J. Cheeger. Remarks on famlies index theorem for manifolds with boundary. eds. Blaine Lawson and Kitti Tenanbaum. Differential Geometry. Pitman Monogr. Surveys Pure Appl. , 52, Longman Sci. , Harlow, 1991, pp. 59–83. 5. -M. Bismut and J. Cheeger. η -invariants and their adiabatic limits.

S. Zucker. Hodge theory with degenerating coefficients. L2 cohomology in the Poincar´a metric. Ann. Math. (2), 109:415–476, 1979. 32. S. Zucker. L2 cohomology of warped products and arithmetic groups. Invent. , 70:169– 218, 1982. Hirzebruch Surfaces and Weighted Projective Planes Paul Gauduchon Abstract For any positive integer, we show that the standard self-dual orbifold K¨ahler structure of the weighted projective surface P1,1,k can be realized as a limit of the Hirzebruch surface Fk , equipped with a sequence of Calabi extremal K¨ahler metrics whose K¨ahler classes tend to the boundary of the K¨ahler cone, and that this collapsing process is compatible with the natural toric structures of P1,1,k and Fk .

J, 1982, pp. 303–340. 13. X. Dai. Adiabatic limits, nonmultiplicativity of signature, and Leray spectral sequence. J. Am. Math. , 4:265–321, 1991. 14. M. Goresky and R. MacPherson. Intersection homology theory. Topology, 19:135–162, 1980. 15. M. Goresky and R. MacPherson. Intersection homology II. Invent. , 71:77–129, 1983. 16. T. Hausal, E. Hunsicker, and R. Mazzeo. The hodge cohomology of gravitational instantons. Duke Math. J. 122, no. 3:485–548, 2004. 17. N. Hitchin. L2 -cohomology of hyperk¨ahler quotients.