Wan, Xueyuan; Zhang, Genkai The asymptotic of curvature of direct image bundle associated with higher powers of a relatively ample line bundle. (English) Zbl 1478.32061 Geom. Dedicata 214, 489-517 (2021). MSC: 32L05 PDF BibTeX XML Cite \textit{X. Wan} and \textit{G. Zhang}, Geom. Dedicata 214, 489--517 (2021; Zbl 1478.32061) Full Text: DOI arXiv OpenURL
Freixas i Montplet, Gerard; von Pippich, Anna-Maria Riemann-Roch isometries in the non-compact orbifold setting. (English) Zbl 1470.14021 J. Eur. Math. Soc. (JEMS) 22, No. 11, 3491-3564 (2020). Reviewer: Laurent Guillopé (Nantes) MSC: 14C40 14G40 11F72 58J52 14F43 PDF BibTeX XML Cite \textit{G. Freixas i Montplet} and \textit{A.-M. von Pippich}, J. Eur. Math. Soc. (JEMS) 22, No. 11, 3491--3564 (2020; Zbl 1470.14021) Full Text: DOI arXiv OpenURL
Finski, Siarhei Analytic torsion for surfaces with cusps. II: Regularity, asymptotics and curvature theorem. (English) Zbl 1453.58010 Adv. Math. 375, Article ID 107409, 47 p. (2020). MSC: 58J52 32Q15 PDF BibTeX XML Cite \textit{S. Finski}, Adv. Math. 375, Article ID 107409, 47 p. (2020; Zbl 1453.58010) Full Text: DOI arXiv OpenURL
Takhtajan, Leon A.; Zograf, Peter Local index theorem for orbifold Riemann surfaces. (English) Zbl 1417.58024 Lett. Math. Phys. 109, No. 5, 1119-1143 (2019). MSC: 58J52 14H10 58J20 32W05 PDF BibTeX XML Cite \textit{L. A. Takhtajan} and \textit{P. Zograf}, Lett. Math. Phys. 109, No. 5, 1119--1143 (2019; Zbl 1417.58024) Full Text: DOI arXiv OpenURL
Eriksson, Dennis; Freixas i Montplet, Gerard; Mourougane, Christophe Singularities of metrics on Hodge bundles and their topological invariants. (English) Zbl 1427.14079 Algebr. Geom. 5, No. 6, 742-775 (2018). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14J32 14D06 32G20 32Q25 58K55 58J52 58K65 14J70 14J33 PDF BibTeX XML Cite \textit{D. Eriksson} et al., Algebr. Geom. 5, No. 6, 742--775 (2018; Zbl 1427.14079) Full Text: DOI arXiv OpenURL
Fathi, Ali; Ghorbanpour, Asghar; Khalkhali, Masoud Curvature of the determinant line bundle for the noncommutative two torus. (English) Zbl 1413.46063 Math. Phys. Anal. Geom. 20, No. 2, Paper No. 4, 20 p. (2017). MSC: 46L87 58B34 PDF BibTeX XML Cite \textit{A. Fathi} et al., Math. Phys. Anal. Geom. 20, No. 2, Paper No. 4, 20 p. (2017; Zbl 1413.46063) Full Text: DOI arXiv OpenURL
Biswas, Indranil; Schumacher, Georg The Weil-Petersson current for moduli of vector bundles and applications to orbifolds. (English. French summary) Zbl 1356.32008 Ann. Fac. Sci. Toulouse, Math. (6) 25, No. 4, 895-917 (2016). Reviewer: Viorel Vâjâitu (Bucureşti) MSC: 32J27 32L05 32G08 PDF BibTeX XML Cite \textit{I. Biswas} and \textit{G. Schumacher}, Ann. Fac. Sci. Toulouse, Math. (6) 25, No. 4, 895--917 (2016; Zbl 1356.32008) Full Text: DOI arXiv OpenURL
Biswas, Indranil; Schumacher, Georg Deligne pairing and Quillen metric. (English) Zbl 1326.14038 Int. J. Math. 25, No. 14, Article ID 1450122, 13 p. (2014). MSC: 14F05 14D06 PDF BibTeX XML Cite \textit{I. Biswas} and \textit{G. Schumacher}, Int. J. Math. 25, No. 14, Article ID 1450122, 13 p. (2014; Zbl 1326.14038) Full Text: DOI arXiv OpenURL
Hajli, Mounir The generalized holomorphic analytic torsion for the integrable line bundles. (La torsion analytique holomorphe généralisée des fibrés en droites intégrables.) (French. English summary) Zbl 1290.32018 C. R., Math., Acad. Sci. Paris 352, No. 5, 441-445 (2014). MSC: 32J27 PDF BibTeX XML Cite \textit{M. Hajli}, C. R., Math., Acad. Sci. Paris 352, No. 5, 441--445 (2014; Zbl 1290.32018) Full Text: DOI OpenURL
Gil, José Ignacio Burgos; Freixas i Montplet, Gerard; Liţcanu, Răzvan Generalized holomorphic analytic torsion. (English) Zbl 1305.58018 J. Eur. Math. Soc. (JEMS) 16, No. 3, 463-535 (2014). Reviewer: Luiz Hartmann (São Carlos) MSC: 58J52 19L10 PDF BibTeX XML Cite \textit{J. I. B. Gil} et al., J. Eur. Math. Soc. (JEMS) 16, No. 3, 463--535 (2014; Zbl 1305.58018) Full Text: DOI arXiv OpenURL
Eriksson, Dennis Degenerating Riemann surfaces and the Quillen metric. (English) Zbl 1314.30087 Int. Math. Res. Not. 2013, No. 2, 347-361 (2013). MSC: 30F99 PDF BibTeX XML Cite \textit{D. Eriksson}, Int. Math. Res. Not. 2013, No. 2, 347--361 (2013; Zbl 1314.30087) Full Text: DOI arXiv OpenURL
Bismut, Jean-Michel Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry. (English) Zbl 1273.58001 Progress in Mathematics 305. Basel: Birkhäuser/Springer (ISBN 978-3-319-00127-2/hbk; 978-3-319-00128-9/ebook). xv, 203 p. (2013). Reviewer: Hirokazu Nishimura (Tsukuba) MSC: 58-02 58J05 58J20 19K56 58J35 32L05 PDF BibTeX XML Cite \textit{J.-M. Bismut}, Hypoelliptic Laplacian and Bott-Chern cohomology. A theorem of Riemann-Roch-Grothendieck in complex geometry. Basel: Birkhäuser/Springer (2013; Zbl 1273.58001) Full Text: DOI OpenURL
Freixas i Montplet, Gerard An arithmetic Hilbert-Samuel theorem for pointed stable curves. (English) Zbl 1244.14019 J. Eur. Math. Soc. (JEMS) 14, No. 2, 321-351 (2012). Reviewer: Shun Tang (Bonn) MSC: 14G40 PDF BibTeX XML Cite \textit{G. Freixas i Montplet}, J. Eur. Math. Soc. (JEMS) 14, No. 2, 321--351 (2012; Zbl 1244.14019) Full Text: DOI arXiv OpenURL
Malmendier, Andreas The signature of the Seiberg-Witten surface. (English) Zbl 1243.14035 Mrowka, Tomasz (ed.) et al., Perspectives in mathematics and physics: Essays dedicated to Isadore Singer’s 85th birthday. Somerville, MA: International Press (ISBN 978-1-57146-145-2/hbk). Surveys in Differential Geometry 15, 255-277 (2011). Reviewer: Sergiy Koshkin (Houston) MSC: 14J80 PDF BibTeX XML Cite \textit{A. Malmendier}, Surv. Differ. Geom. 15, 255--277 (2011; Zbl 1243.14035) Full Text: arXiv OpenURL
Biswas, Indranil; Schumacher, Georg; Weng, Lin Deligne pairing and determinant bundle. (English) Zbl 1219.14023 Electron. Res. Announc. Math. Sci. 18, 91-96 (2011). MSC: 14F05 14D06 PDF BibTeX XML Cite \textit{I. Biswas} et al., Electron. Res. Announc. Math. Sci. 18, 91--96 (2011; Zbl 1219.14023) Full Text: DOI arXiv OpenURL
Biswas, Indranil Determinant line bundle on moduli space of parabolic bundles. (English) Zbl 1213.14033 Ann. Global Anal. Geom. 40, No. 1, 85-94 (2011). MSC: 14F05 14D20 PDF BibTeX XML Cite \textit{I. Biswas}, Ann. Global Anal. Geom. 40, No. 1, 85--94 (2011; Zbl 1213.14033) Full Text: DOI arXiv OpenURL
Ma, Xiaonan; Marinescu, George Holomorphic Morse inequalities and Bergman kernels. (English) Zbl 1135.32001 Progress in Mathematics 254. Basel: Birkhäuser (ISBN 978-3-7643-8096-0/hbk). xiii, 422 p. (2007). Reviewer: Julien Keller (Marseille) MSC: 32-02 53-02 58-02 32A25 58J35 58J50 58J52 53D50 PDF BibTeX XML Cite \textit{X. Ma} and \textit{G. Marinescu}, Holomorphic Morse inequalities and Bergman kernels. Basel: Birkhäuser (2007; Zbl 1135.32001) OpenURL
Biswas, Indranil; Schumacher, Georg Geometry of moduli spaces of Higgs bundles. (English) Zbl 1107.53016 Commun. Anal. Geom. 14, No. 4, 765-793 (2006). MSC: 53C07 58D27 PDF BibTeX XML Cite \textit{I. Biswas} and \textit{G. Schumacher}, Commun. Anal. Geom. 14, No. 4, 765--793 (2006; Zbl 1107.53016) Full Text: DOI arXiv OpenURL
Biswas, Indranil; Raghavendra, N. The determinant bundle on the moduli space of stable triples over a curve. (English) Zbl 1016.32011 Proc. Indian Acad. Sci., Math. Sci. 112, No. 3, 367-382 (2002). Reviewer: Ruben A.Hidalgo (Valparaiso) MSC: 32L05 32G13 14H60 PDF BibTeX XML Cite \textit{I. Biswas} and \textit{N. Raghavendra}, Proc. Indian Acad. Sci., Math. Sci. 112, No. 3, 367--382 (2002; Zbl 1016.32011) Full Text: DOI OpenURL
Paycha, Sylvie From group actions to determinant bundles using (heat-kernel) renormalization techniques. (English) Zbl 1003.58006 Huckleberry, Alan (ed.) et al., Infinite dimensional Kähler manifolds. Basel: Birkhäuser. DMV Semin. 31, 257-285 (2001). Reviewer: W.Mozgawa (Lublin) MSC: 58B25 58J52 58D17 58D19 81T30 PDF BibTeX XML Cite \textit{S. Paycha}, DMV Semin. 31, 257--285 (2001; Zbl 1003.58006) OpenURL
Köhler, Kai; Roessler, Damian A fixed point formula of Lefschetz type in Arakelov geometry. I: Statement and proof. (English) Zbl 0999.14002 Invent. Math. 145, No. 2, 333-396 (2001). Reviewer: Bernhard Köck (Southampton) MSC: 14C40 14G40 14L30 58J20 58J52 PDF BibTeX XML Cite \textit{K. Köhler} and \textit{D. Roessler}, Invent. Math. 145, No. 2, 333--396 (2001; Zbl 0999.14002) Full Text: DOI arXiv OpenURL
Gillet, H.; Soulé, C. Erratum: The holonomy of the determinant of cohomology of an algebraic bundle. (English) Zbl 0984.14007 Commun. Math. Phys. 215, No. 1, 237-238 (2000). Reviewer: U.N.Bhosle (Mumbai) MSC: 14F05 32L10 PDF BibTeX XML Cite \textit{H. Gillet} and \textit{C. Soulé}, Commun. Math. Phys. 215, No. 1, 237--238 (2000; Zbl 0984.14007) Full Text: DOI OpenURL
Ma, Xiaonan Submersions and equivariant Quillen metrics. (English) Zbl 0964.58025 Ann. Inst. Fourier 50, No. 5, 1539-1588 (2000). Reviewer: Peter Haskell (Blacksburg) MSC: 58J52 32L10 58J35 32L05 57S15 32J25 PDF BibTeX XML Cite \textit{X. Ma}, Ann. Inst. Fourier 50, No. 5, 1539--1588 (2000; Zbl 0964.58025) Full Text: DOI Numdam EuDML OpenURL
Scott, Simon Splitting the curvature of the determinant line bundle. (English) Zbl 0957.58025 Proc. Am. Math. Soc. 128, No. 9, 2763-2775 (2000). Reviewer: Sebastian Goette (Tübingen) MSC: 58J52 58J32 81T50 PDF BibTeX XML Cite \textit{S. Scott}, Proc. Am. Math. Soc. 128, No. 9, 2763--2775 (2000; Zbl 0957.58025) Full Text: DOI arXiv OpenURL
Biswas, Indranil; Schumacher, Georg Generalized Petersson-Weil metric on the Douady space of embedded manifolds. (English) Zbl 1001.32008 Peternell, Thomas (ed.) et al., Complex analysis and algebraic geometry. A volume in memory of Michael Schneider. Berlin: Walter de Gruyter. 109-115 (2000). Reviewer: Eberhard Oeljeklaus (Bremen) MSC: 32G10 32Q15 53C55 PDF BibTeX XML Cite \textit{I. Biswas} and \textit{G. Schumacher}, in: Complex analysis and algebraic geometry. A volume in memory of Michael Schneider. Berlin: Walter de Gruyter. 109--115 (2000; Zbl 1001.32008) OpenURL
Yoshikawa, Ken-ichi Discriminant of theta divisors and Quillen metrics. (English) Zbl 1033.58029 J. Differ. Geom. 52, No. 1, 73-115 (1999). Reviewer: Michael Farber (Zürich) MSC: 58J52 11F46 14K25 32Q15 PDF BibTeX XML Cite \textit{K.-i. Yoshikawa}, J. Differ. Geom. 52, No. 1, 73--115 (1999; Zbl 1033.58029) Full Text: DOI arXiv OpenURL
Obitsu, Kunio Non-completeness of Zograf-Takhtajan’s Kähler metric for Teichmüller space of punctured Riemann surfaces. (English) Zbl 0939.32012 Commun. Math. Phys. 205, No. 2, 405-420 (1999). MSC: 32G15 32W05 PDF BibTeX XML Cite \textit{K. Obitsu}, Commun. Math. Phys. 205, No. 2, 405--420 (1999; Zbl 0939.32012) Full Text: DOI OpenURL
Bismut, Jean-Michel; Goette, Sebastian Holomorphic equivariant analytical torsions. (Torsions analytiques équivariantes holomorphes.) (French. Abridged English version) Zbl 0952.53034 C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 3, 203-210 (1999). Reviewer: Marian Munteanu (Iasi) MSC: 53C55 58J28 14C40 53C10 58J20 PDF BibTeX XML Cite \textit{J.-M. Bismut} and \textit{S. Goette}, C. R. Acad. Sci., Paris, Sér. I, Math. 329, No. 3, 203--210 (1999; Zbl 0952.53034) Full Text: DOI OpenURL
Biswas, I.; Schumacher, G. Determinant bundle, Quillen metric, and Petersson-Weil form on moduli spaces. (English) Zbl 0968.32008 Geom. Funct. Anal. 9, No. 2, 226-255 (1999). Reviewer: Alfred Aeppli (Minneapolis) MSC: 32G13 58J52 32L05 PDF BibTeX XML Cite \textit{I. Biswas} and \textit{G. Schumacher}, Geom. Funct. Anal. 9, No. 2, 226--255 (1999; Zbl 0968.32008) Full Text: DOI OpenURL
Yoshikawa, Ken-Ichi Quillen metrics and discriminants. (Japanese) Zbl 0967.58018 RIMS Kokyuroku 1058, 149-163 (1998). Reviewer: Akira Asada (Takarazuka) MSC: 58J52 14K25 PDF BibTeX XML Cite \textit{K.-I. Yoshikawa}, RIMS Kokyuroku 1058, 149--163 (1998; Zbl 0967.58018) OpenURL
Wendland, K.; Müller, W. Critical metrics with respect to Ray-Singer analytic torsion and Quillen metric. (English) Zbl 0931.53035 Bach, Michael (ed.) et al., Analysis, numerics and applications of differential and integral equations. Dedication to Wolfgang L. Wendland on the occasion of his 60th birthday. Harlow: Addison Wesley Longman. Pitman Res. Notes Math. Ser. 379, 245-250 (1998). Reviewer: Sebastian Goette (Orsay) MSC: 53C55 58E11 PDF BibTeX XML Cite \textit{K. Wendland} and \textit{W. Müller}, in: Analysis, numerics and applications of differential and integral equations. Dedication to Wolfgang L. Wendland on the occasion of his 60th birthday. Harlow: Addison Wesley Longman. 245--250 (1998; Zbl 0931.53035) OpenURL
Bismut, Jean-Michel Quillen metrics and singular fibres in arbitrary relative dimension. (English) Zbl 0871.32003 J. Algebr. Geom. 6, No. 1, 19-149 (1997). Reviewer: E.Ballico (Povo) MSC: 32C30 32L99 11G99 PDF BibTeX XML Cite \textit{J.-M. Bismut}, J. Algebr. Geom. 6, No. 1, 19--149 (1997; Zbl 0871.32003) OpenURL
Biswas, Indranil Determinant bundle over the universal moduli space of vector bundles over the Teichmüller space. (English) Zbl 0873.32017 Ann. Inst. Fourier 47, No. 3, 885-913 (1997). MSC: 32G13 14D20 PDF BibTeX XML Cite \textit{I. Biswas}, Ann. Inst. Fourier 47, No. 3, 885--913 (1997; Zbl 0873.32017) Full Text: DOI Numdam EuDML OpenURL
Liu, Kefeng Remarks on the geometry of moduli spaces. (English) Zbl 0873.14031 Proc. Am. Math. Soc. 124, No. 3, 689-695 (1996). Reviewer: W.Kleinert (Berlin) MSC: 14H15 32G15 14H10 14D20 PDF BibTeX XML Cite \textit{K. Liu}, Proc. Am. Math. Soc. 124, No. 3, 689--695 (1996; Zbl 0873.14031) Full Text: DOI OpenURL
Nag, Subhashis Mathematics in and out of string theory. (English) Zbl 1050.32501 Kojima, Sadayoshi (ed.) et al., Topology and Teichmüller spaces. Proceedings of the 37th Taniguchi symposium, Katinkulta, Finland, July, 24–28, 1995. Singapore: World Scientific (ISBN 981-02-2686-1/hbk). 187-220 (1996). Reviewer: Martin Schlichenmaier (Luxembourg) MSC: 32G15 81T30 32G81 58J52 PDF BibTeX XML Cite \textit{S. Nag}, in: Topology and Teichmüller spaces. Proceedings of the 37th Taniguchi symposium, Katinkulta, Finland, July, 24--28, 1995. Singapore: World Scientific. 187--220 (1996; Zbl 1050.32501) Full Text: arXiv OpenURL
Yoshikawa, Ken-Ichi On the spectral zeta functions of Kähler varieties with conical singularities. (English) Zbl 0921.58068 Noguchi, J. (ed.) et al., Geometric complex analysis. Proceedings of the conference held at the 3rd International Research Institute of the Mathematical Society of Japan, Hayama, March 19–29, 1995. Singapore: World Scientific. 679-690 (1996). Reviewer: M.Puta (Timişoara) MSC: 58J50 58J52 32S70 PDF BibTeX XML Cite \textit{K.-I. Yoshikawa}, in: Geometric complex analysis. Proceedings of the conference held at the 3rd International Research Institute of the Mathematical Society of Japan, Hayama, March 19--29, 1995. Singapore: World Scientific. 679--690 (1996; Zbl 0921.58068) OpenURL
Weng, Lin Regularized determinants of Laplacians for Hermitian line bundles over projective spaces. (English) Zbl 0847.14002 J. Math. Kyoto Univ. 35, No. 3, 341-355 (1995). Reviewer: Weng Lin (Singapore) MSC: 14C40 14M12 14H60 57R20 14G40 32L10 58J52 PDF BibTeX XML Cite \textit{L. Weng}, J. Math. Kyoto Univ. 35, No. 3, 341--355 (1995; Zbl 0847.14002) Full Text: DOI OpenURL
Brylinski, Jean-Luc; McLaughlin, Dennis Holomorphic quantization and unitary representations of the Teichmüller group. (English) Zbl 0846.58030 Brylinski, Jean-Luc (ed.) et al., Lie theory and geometry: in honor of Bertram Kostant on the occasion of his 65th birthday. Invited papers, some originated at a symposium held at MIT, Cambridge, MA, USA in May 1993. Boston, MA: Birkhäuser. Prog. Math. 123, 21-64 (1994). Reviewer: M.Puta (Timişoara) MSC: 53D50 22E67 58J50 32L05 PDF BibTeX XML Cite \textit{J.-L. Brylinski} and \textit{D. McLaughlin}, Prog. Math. 123, 21--64 (1994; Zbl 0846.58030) OpenURL
Bismut, Jean-Michel Quillen metrics and degenerating Kähler manifolds. (Métriques de Quillen et dégénérescence de variétés kählériennes.) (French) Zbl 0830.32007 C. R. Acad. Sci., Paris, Sér. I 319, No. 12, 1287-1291 (1994). Reviewer: A.Aeppli (Minneapolis) MSC: 32Q15 32Q99 53C55 PDF BibTeX XML Cite \textit{J.-M. Bismut}, C. R. Acad. Sci., Paris, Sér. I 319, No. 12, 1287--1291 (1994; Zbl 0830.32007) OpenURL
Wirsching, Christoph Eigenvalues of the Laplace operator for Graßmann manifolds. (Eigenwerte des Laplace-Operators für Graßmann-Varietäten.) (German) Zbl 0856.58048 München: Univ. München, Fak. Math. 55 S. (1992). Reviewer: G.Ehrig (Berlin) MSC: 58J50 58-02 53A40 PDF BibTeX XML Cite \textit{C. Wirsching}, Eigenwerte des Laplace-Operators für Graßmann-Varietäten. München: Univ. München, Fak. Math. (1992; Zbl 0856.58048) OpenURL
Pekonen, Osmo Why should the number of dimensions of space-time be 26? (Finnish. English summary) Zbl 0764.53054 Arkhimedes 44, No. 1, 18-39 (1992). MSC: 53Z05 83E30 81T50 PDF BibTeX XML Cite \textit{O. Pekonen}, Arkhimedes 44, No. 1, 18--39 (1992; Zbl 0764.53054) OpenURL
Soulé, C.; Abramovich, Dan; Burnol, J.-F.; Kramer, Jürg Lectures on Arakelov geometry. (English) Zbl 0812.14015 Cambridge Studies in Advanced Mathematics. 33. Cambridge: Cambridge University Press. 177 p. (1992). MSC: 14G40 14C05 14C40 PDF BibTeX XML Cite \textit{C. Soulé} et al., Lectures on Arakelov geometry. Cambridge: Cambridge University Press (1992; Zbl 0812.14015) OpenURL
Berthomieu, Alain; Bismut, Jean-Michel Formes de torsion analytique et métriques de Quillen. (Analytic torsion forms and Quillen metrics). (French) Zbl 0774.32018 C. R. Acad. Sci., Paris, Sér. I 315, No. 10, 1071-1077 (1992). Reviewer: J.Chrastina (Brno) MSC: 32L10 32C35 57R20 PDF BibTeX XML Cite \textit{A. Berthomieu} and \textit{J.-M. Bismut}, C. R. Acad. Sci., Paris, Sér. I 315, No. 10, 1071--1077 (1992; Zbl 0774.32018) OpenURL
Glazebrook, James F.; Kamber, Franz W. Determinant line bundles for Hermitian foliations and a generalized Quillen metric. (English) Zbl 0747.58049 Several complex variables and complex geometry, Proc. Summer Res. Inst., Santa Cruz/CA (USA) 1989, Proc. Symp. Pure Math. 52, Part 2, 225-232 (1991). Reviewer: C.Zuily (Orsay) MSC: 58J40 58J60 53C12 53C55 PDF BibTeX XML Cite \textit{J. F. Glazebrook} and \textit{F. W. Kamber}, Proc. Symp. Pure Math. None, 225--232 (1991; Zbl 0747.58049) OpenURL
Bismut, J.-M.; Bost, J.-B. Determinant fiber bundles, Quillen metric and degeneracy of curves. (Fibrés déterminants, métriques de Quillen et dégénérescence des courbes.) (French) Zbl 0709.32019 Acta Math. 165, No. 1-2, 1-103 (1990). Reviewer: J.Kajiwara MSC: 32L05 32C15 14H10 14C20 PDF BibTeX XML Cite \textit{J. M. Bismut} and \textit{J. B. Bost}, Acta Math. 165, No. 1--2, 1--103 (1990; Zbl 0709.32019) Full Text: DOI OpenURL
Bismut, Jean-Michel Superconnection currents and complex immersions. (English) Zbl 0696.58006 Invent. Math. 99, No. 1, 59-113 (1990). Reviewer: K.Lamotke MSC: 58A50 53C05 32L10 57R42 57R20 53C65 58A10 PDF BibTeX XML Cite \textit{J.-M. Bismut}, Invent. Math. 99, No. 1, 59--113 (1990; Zbl 0696.58006) Full Text: DOI EuDML OpenURL
Gillet, Henri; Soulé, Christophe Un théorème de Riemann-Roch-Grothendieck arithmétique. (An arithmetic Riemann-Roch-Grothendieck theorem). (French) Zbl 0732.14002 C. R. Acad. Sci., Paris, Sér. I 309, No. 17, 929-932 (1989). MSC: 14C40 14G40 14M12 PDF BibTeX XML Cite \textit{H. Gillet} and \textit{C. Soulé}, C. R. Acad. Sci., Paris, Sér. I 309, No. 17, 929--932 (1989; Zbl 0732.14002) OpenURL
Bismut, Jean-Michel; Lebeau, Gilles Immersions complexes et métriques de Quillen. (Complex immersions and Quillen metrics). (French. Abridged English version) Zbl 0681.53034 C. R. Acad. Sci., Paris, Sér. I 309, No. 7, 487-491 (1989). MSC: 53C55 32Q99 PDF BibTeX XML Cite \textit{J.-M. Bismut} and \textit{G. Lebeau}, C. R. Acad. Sci., Paris, Sér. I 309, No. 7, 487--491 (1989; Zbl 0681.53034) OpenURL
Andradas, C.; Bröcker, L.; Ruiz, J. M. Minimal generation of basic open semianalytic sets. (English) Zbl 0655.32011 Invent. Math. 92, No. 2, 409-430 (1988). Reviewer: W.W.J.Hulsbergen MSC: 32B20 16W99 14Pxx PDF BibTeX XML Cite \textit{C. Andradas} et al., Invent. Math. 92, No. 2, 409--430 (1988; Zbl 0655.32011) Full Text: DOI EuDML OpenURL
Bismut, Jean-Michel; Bost, Jean-Benoît Fibrés déterminants, métriques de Quillen et dégénérescence des courbes. (Determinant line bundles, Quillen metrics and degenerating curves). (French) Zbl 0652.32019 C. R. Acad. Sci., Paris, Sér. I 307, No. 7, 317-320 (1988). Reviewer: M.Hervé MSC: 32L05 PDF BibTeX XML Cite \textit{J.-M. Bismut} and \textit{J.-B. Bost}, C. R. Acad. Sci., Paris, Sér. I 307, No. 7, 317--320 (1988; Zbl 0652.32019) OpenURL
Bismut, J.-M.; Gillet, H.; Soulé, C. Analytic torsion and holomorphic determinant bundles. I: Bott-Chern forms and analytic torsion. II: Direct images and Bott-Chern forms. III: Quillen metrics on holomorphic determinants. (English) Zbl 0651.32017 Commun. Math. Phys. 115, No. 1, 49-78, 79-126 (1988); No. 2, 301-351 (1988). Reviewer: K.Lamotke MSC: 32L10 53C55 57R20 PDF BibTeX XML Cite \textit{J. M. Bismut} et al., Commun. Math. Phys. 115, No. 1, 49--78, 79--126 (1988; Zbl 0651.32017) Full Text: DOI OpenURL
Zograf, P. G.; Takhtadzhyan, L. A. A local index theorem for families of \({\bar \partial}\)-operators on Riemann surfaces. (English. Russian original) Zbl 0699.58061 Russ. Math. Surv. 42, No. 6, 169-190 (1987); translation from Usp. Mat. Nauk 42, No. 6, 133-150 (1987). MSC: 58J20 30F99 32G15 PDF BibTeX XML Cite \textit{P. G. Zograf} and \textit{L. A. Takhtadzhyan}, Russ. Math. Surv. 42, No. 6, 169--190 (1987; Zbl 0699.58061); translation from Usp. Mat. Nauk 42, No. 6, 133--150 (1987) Full Text: DOI OpenURL
Zograf, P. G.; Takhtadzhyan, L. A. A local index theorem for families of \(\overline{\partial}\)-operators on Riemann surfaces. (Russian) Zbl 0659.58043 Usp. Mat. Nauk 42, No. 6(258), 133-150 (1987). Reviewer: Niels Jacob MSC: 58J20 30F99 32G15 PDF BibTeX XML Cite \textit{P. G. Zograf} and \textit{L. A. Takhtadzhyan}, Usp. Mat. Nauk 42, No. 6(258), 133--150 (1987; Zbl 0659.58043) OpenURL
Bost, Jean-Benoît Fibrés déterminants, déterminants régularisés et mesures sur les espaces de modules des courbes complexes. (Determinant fiber bundles, regularized determinants and measures on moduli spaces of complex curves.). (French) Zbl 0655.32021 Sémin. Bourbaki, 39ème année, Vol. 1986/87, Exp. 676, Astérisque 152/153, 113-149 (1987). Reviewer: W.W.J.Hulsbergen MSC: 32G15 14H10 30Fxx 53A30 81Txx PDF BibTeX XML Full Text: Numdam EuDML OpenURL
Bismut, Jean-Michel; Freed, Daniel S. The analysis of elliptic families. I: Metrics and connections on determinant bundles. (English) Zbl 0657.58037 Commun. Math. Phys. 106, 159-176 (1986). Reviewer: N.Jacob MSC: 58J10 53C05 PDF BibTeX XML Cite \textit{J.-M. Bismut} and \textit{D. S. Freed}, Commun. Math. Phys. 106, 159--176 (1986; Zbl 0657.58037) Full Text: DOI OpenURL