@book{AST_1997__244__R1_0, author = {Bismut, Jean-Michel}, title = {Holomorphic families of immersions and higher analytic torsion forms}, series = {Ast\'erisque}, publisher = {Soci\'et\'e math\'ematique de France}, number = {244}, year = {1997}, mrnumber = {1623496}, zbl = {0899.32013}, language = {en}, url = {http://www.numdam.org/item/AST_1997__244__R1_0/} }
Bismut, Jean-Michel. Holomorphic families of immersions and higher analytic torsion forms. Astérisque, no. 244 (1997), 283 p. http://numdam.org/item/AST_1997__244__R1_0/
[1] On the heat equation and the Index Theorem, Invent Math., 19 (1973), 279-330. | MR | Zbl | EuDML | DOI
, , ,[2] Riemann-Roch for singular varieties, Publ. Math. IHES, 45 (1975), 101-146. | MR | Zbl | EuDML | Numdam | DOI
, , ,[3] Heat kernels and Dirac operators, Grundl. Math. Wiss. Band 298. Berlin-Heidelberg-New-York, Springer 1992. | MR | Zbl
, , ,[4] The index Theorem for families of Dirac operators: two heat equation proofs, Invent. Math., 83 (1986), 91-151. | MR | Zbl | EuDML | DOI
,[5] Superconnection currents and complex immersions, Invent. Math., 99 (1990), 59-113. | MR | Zbl | EuDML | DOI
,[6] Koszul complexes, harmonic oscillators and the Todd class, J.A.M.S., 3 (1990), 159-256. | MR | Zbl
,[7] Formules de Lichnerowicz et théorème de l'indice, Proceedings of the Conference in honour of A. Lichnerowicz, D. Bernard, Y. Choquet-Bruhat eds., Vol. Géom. Diff. pp 11-31. Travaux en cours, Paris: Hermann 1988. | MR | Zbl
,[8] Equivariant short exact sequences of vector bundles and their analytic torsion forms. Comp. Math., 93 (1994), 291-354. | MR | Zbl | EuDML | Numdam
,[9] The infinitesimal Lefschetz formulas: a heat equation proof, J. Fund. Anal., 62 (1985), 435-457. | MR | Zbl | DOI
,[10] Familles d'immersions et formes de torsion analytique en degré supérieur. C.R. Acad. Sci. Paris, 320, série I (1995), 969-974. | MR | Zbl
,[11] Quillen metrics and higher analytic torsion forms, J. reine angew. Math., 457 (1994), 85-184 | MR | Zbl | EuDML
, ,[12] -invariants and their adiabatic limits, J.A.M.S., 2 (1989), 33-70. | MR | Zbl
, ,[13] Analytic torsion and holomorphic determinants bundles, I, Comm. Math. Phys., 115 (1988), 49-78. | MR | Zbl | DOI
, , ,[14] Analytic torsion and holomorphic determinants bundles, II, Comm. Math. Phys., 115 (1988), 79-126. | Zbl | DOI
, , ,[15] Analytic torsion and holomorphic determinants bundles, III, Comm. Math. Phys., 115 (1988), 301-351. | MR | Zbl | DOI
, , ,[16] Bott-Chern currents and complex immersions. Duke Math. Journal, 60 (1990), 255-284. | MR | Zbl | DOI
, , ,[17] Complex immersions and Arakelov geometry, The Grothendieck Festschrift, P. Cartier and al. eds, pp. 249-331. Prog. Math. n° 86. Boston-Basel-Berlin, Birkhäuser, 1990. | MR | Zbl
, , ,[18] Higher analytic torsion forms and anomaly formulas, J. of Alg. Geom., 1 (1992), 647-684. | MR | Zbl
, ,[19] Complex immersions and Quillen metrics, Publ. Math. IHES, 74 (1991), 1-297. | MR | Zbl | EuDML | Numdam | DOI
, ,[20] Hermitian vector bundles and the equidistribution of the zeros of their holomorphic sections, Acta Math., 114 (1968), 71-112. | MR | Zbl | DOI
, ,[21] Introduction à la théorie des équations aux dérivées partielles linéaires, Paris, Gauthier-Villars, 1981. | MR | Zbl
, ,[22] Lectures on the arithmetic Riemann-Roch theorem, Ann. Math. Studies, Princeton University Press, Princeton 1992 | MR | Zbl
,[23] A short proof of the Atiyah-Singer Index Theorem, Topology, 25 (1986), 111-117. | MR | Zbl | DOI
,[24] Arithmetic Intersection Theory, Publ. Math. IHES, 72 (1990), 93-174. | MR | Zbl | EuDML | Numdam | DOI
, ,[25] Characteristic classes of algebraic vector bundles with Hermitian metric, Ann. of Math., I, 131 (1990), 163-203. | Zbl | MR | DOI
, ,Characteristic classes of algebraic vector bundles with Hermitian metric, Ann. of Math., II, 131 (1990), 205-238. | MR | Zbl | DOI
, ,[26] Analytic torsion and the arithmetic Todd genus, Topology, 30 (1991), 21-54. | MR | Zbl | DOI
, ,[27] An arithmetic Riemann-Roch Theorem, Invent. Math., 110 (1992), 473-543. | MR | Zbl | EuDML | DOI
, ,[28] Principles of algebraic geometry, New-York, Wiley, 1978. | MR | Zbl
, ,[29] Harmonic spinors, Adv. Math., 14 (1974), 1-55 | MR | Zbl | DOI
,[30] The analysis of linear partial differential operators, I, Grundl. Math. Wiss. Band 256, Berlin-Heidelberg-New-York, Springer, 1983. | MR | Zbl
,[31] Differential geometry of complex vector bundles. Iwanami Shoten and Princeton University Press, 1987. | MR | Zbl | DOI
,[32] Superconnections and the Chern character, Topology, 24 (1985), 89-95. | MR | Zbl | DOI
,[33] Determinants of Cauchy-Riemann operators over a Riemann surface, Funct. Anal. Appl., 14 (1985), 31-34. | Zbl | DOI
,[34] Analytic torsion for complex manifolds, Ann. of Math., 98 (1973), 154-177. | MR | Zbl | DOI
, ,[35] Pseudodifferential operators, Princeton, Princeton Univ. Paris, 1981. | MR | Zbl
,