Brylinski, Jean-Luc Loop spaces, characteristic classes and geometric quantization. Reprint of the 1993 edition. (English) Zbl 1136.55001 Modern Birkhäuser Classics. Basel: Birkhäuser (ISBN 978-0-8176-4730-8/pbk). xvi, 300 p. (2008). Reviewer: Jean Claude Thomas (Angers) MSC: 55-02 58-02 58D10 57M25 53C15 53C55 57N20 PDFBibTeX XMLCite \textit{J.-L. Brylinski}, Loop spaces, characteristic classes and geometric quantization. Reprint of the 1993 edition. Basel: Birkhäuser (2008; Zbl 1136.55001)
Brylinski, Jean-Luc The beta function of a knot. (English) Zbl 0972.57006 Int. J. Math. 10, No. 4, 415-423 (1999). Reviewer: Alberto Cavicchioli (Modena) MSC: 57M25 53C40 58E10 30D05 33B15 53A04 33E20 PDFBibTeX XMLCite \textit{J.-L. Brylinski}, Int. J. Math. 10, No. 4, 415--423 (1999; Zbl 0972.57006) Full Text: DOI arXiv
Brylinski, Jean-Luc; Foth, Philip Moduli of flat bundles on open Kähler manifolds. (English) Zbl 0965.53055 J. Algebr. Geom. 8, No. 1, 147-168 (1999). MSC: 53D30 58D27 53C55 PDFBibTeX XMLCite \textit{J.-L. Brylinski} and \textit{P. Foth}, J. Algebr. Geom. 8, No. 1, 147--168 (1999; Zbl 0965.53055) Full Text: arXiv
Brylinski, Jean-Luc Geometric construction of Quillen line bundles. (English) Zbl 0933.14010 Brylinski, Jean-Luc (ed.) et al., Advances in geometry. Boston, MA: Birkhäuser. Prog. Math. 172, 107-146 (1999). Reviewer: Piotr Krasoń (Szczecin) MSC: 14F43 55R40 58A14 57R20 PDFBibTeX XMLCite \textit{J.-L. Brylinski}, Prog. Math. 172, 107--146 (1999; Zbl 0933.14010)
Brylinski, Jean-Luc Comparison of the Beilinson-Chern classes with the Chern-Cheeger-Simons classes. (English) Zbl 0915.57013 Brylinski, Jean-Luc (ed.) et al., Advances in geometry. Boston, MA: Birkhäuser. Prog. Math. 172, 95-105 (1999). Reviewer: Gh.Pitiş (Braşov) MSC: 57R20 55R40 58A14 14F25 PDFBibTeX XMLCite \textit{J.-L. Brylinski}, Prog. Math. 172, 95--105 (1999; Zbl 0915.57013)
Brylinski, Jean-Luc (ed.); Brylinski, Ranee (ed.); Nistor, Victor (ed.); Tsygan, Boris (ed.); Xu, Ping (ed.) Advances in geometry. (English) Zbl 0905.00030 Progress in Mathematics (Boston, Mass.). 172. Boston, MA: Birkhäuser. ix, 399 p. (1999). MSC: 00B15 58-06 14-06 17-06 PDFBibTeX XMLCite \textit{J.-L. Brylinski} (ed.) et al., Advances in geometry. Boston, MA: Birk\-häu\-ser (1999; Zbl 0905.00030)
Brylinski, Jean-Luc Categories of vector bundles and Yang-Mills equations. (English) Zbl 0939.53040 Getzler, Ezra (ed.) et al., Higher category theory. Workshop on higher category theory and physics, Evanston, IL, USA, March 28-30, 1997. Providence, RI: American Mathematical Society. Contemp. Math. 230, 83-98 (1998). Reviewer: U.Cattaneo (Maggia) MSC: 53D05 58E15 53C07 PDFBibTeX XMLCite \textit{J.-L. Brylinski}, Contemp. Math. 230, 83--98 (1998; Zbl 0939.53040)
Brylinski, J.-L.; McLaughlin, D. A. Non-commutative reciprocity laws associated to finite groups. (English) Zbl 0911.58004 Loday, Jean-Louis (ed.) et al., Operads: Proceedings of renaissance conferences. Special session and international conference on moduli spaces, operads, and representation theory/operads and homotopy algebra, March 1995/May–June 1995, Hartford, CT, USA/Luminy, France. Providence, RI: American Mathematical Society. Contemp. Math. 202, 421-438 (1997). Reviewer: J.P.C.Greenless (MR 98g:58020) MSC: 58D29 14F05 19D99 57M25 PDFBibTeX XMLCite \textit{J. L. Brylinski} and \textit{D. A. McLaughlin}, Contemp. Math. 202, 421--438 (1997; Zbl 0911.58004)
Brylinski, Jean-Luc Central extensions and reciprocity laws. (English) Zbl 0886.18003 Cah. Topologie Géom. Différ. Catég. 38, No. 3, 193-215 (1997). Reviewer: Jean-Michel Vallin (Paris) MSC: 18B40 58H05 11R37 53C15 20E22 58J20 32L05 PDFBibTeX XMLCite \textit{J.-L. Brylinski}, Cah. Topologie Géom. Différ. Catégoriques 38, No. 3, 193--215 (1997; Zbl 0886.18003) Full Text: Numdam EuDML
Brylinski, Jean-Luc Radon transform and functionals on the spaces of curves. (English) Zbl 0889.44003 Gelfand, I. M. (ed.) et al., The Gelfand Mathematical Seminars, 1993-1995. Papers from the seminars, held at Rutgers University, New Brunswick, New Jersey, USA and at IHES, Bures-sur-Yvette, France. Boston, MA: Birkhäuser. The Gelfand Mathematical Seminars. 45-73 (1996). Reviewer: H.-J.Glaeske (Jena) MSC: 44A12 58C06 46F12 PDFBibTeX XMLCite \textit{J.-L. Brylinski}, in: The Gelfand Mathematical Seminars, 1993-1995. Papers from the seminars, held at Rutgers University, New Brunswick, New Jersey, USA and at IHES, Bures-sur-Yvette, France. Boston, MA: Birkhäuser. 45--73 (1996; Zbl 0889.44003)
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 PDFBibTeX XMLCite \textit{J.-L. Brylinski} and \textit{D. McLaughlin}, Prog. Math. 123, 21--64 (1994; Zbl 0846.58030)
Brylinski, Jean-Luc Loop spaces, characteristic classes and geometric quantization. (English) Zbl 0823.55002 Progress in Mathematics (Boston, Mass.). 107. Boston, MA: Birkhäuser. xvi, 300 p. (1993). Reviewer: Neculai Papaghiuc (Iaşi) MSC: 55-02 58-02 55N35 58D10 57M25 53C15 53C55 57N20 PDFBibTeX XMLCite \textit{J.-L. Brylinski}, Loop spaces, characteristic classes and geometric quantization. Boston, MA: Birkhäuser (1993; Zbl 0823.55002)
Brylinski, Jean-Luc Legendre polynomials and the elliptic genus. (English) Zbl 0790.33010 J. Algebra 145, No. 1, 83-93 (1992). Reviewer: T.Sekiguchi (Tokyo) MSC: 33C45 33C05 33C80 58J26 14L05 11F11 11G05 22E45 57R20 55N22 PDFBibTeX XMLCite \textit{J.-L. Brylinski}, J. Algebra 145, No. 1, 83--93 (1992; Zbl 0790.33010) Full Text: DOI
Brylinski, Jean-Luc Representations of loop groups, Dirac operators on loop space, and modular forms. (English) Zbl 0715.22023 Topology 29, No. 4, 461-480 (1990). Reviewer: A.N.Pressley MSC: 22E67 58J22 17B68 11F06 55N20 PDFBibTeX XMLCite \textit{J.-L. Brylinski}, Topology 29, No. 4, 461--480 (1990; Zbl 0715.22023) Full Text: DOI
Brylinski, Jean-Luc Non-commutative Ruelle-Sullivan type currents. (English) Zbl 0738.58006 The Grothendieck Festschrift, Collect. Artic. in Honor of the 60th Birthday of A. Grothendieck. Vol. I, Prog. Math. 86, 477-498 (1990). Reviewer: P.Michor (Wien) MSC: 58B25 46L85 46L87 22E65 58A10 17B66 PDFBibTeX XMLCite \textit{J.-L. Brylinski}, Prog. Math. None, 477--498 (1990; Zbl 0738.58006)
Brylinski, Jean-Luc Remark on Witten’s modular forms. (English) Zbl 0673.57024 Proc. Am. Math. Soc. 105, No. 3, 773-775 (1989). MSC: 57R20 11F11 57R75 55N20 58A12 PDFBibTeX XMLCite \textit{J.-L. Brylinski}, Proc. Am. Math. Soc. 105, No. 3, 773--775 (1989; Zbl 0673.57024) Full Text: DOI
Brylinski, Jean-Luc A differential complex for Poisson manifolds. (English) Zbl 0634.58029 J. Differ. Geom. 28, No. 1, 93-114 (1988). Reviewer: J.-L. Brylinski MSC: 58J10 17B55 53D17 17B63 53D05 PDFBibTeX XMLCite \textit{J.-L. Brylinski}, J. Differ. Geom. 28, No. 1, 93--114 (1988; Zbl 0634.58029) Full Text: DOI Euclid
Brylinski, Jean-Luc; Getzler, Ezra The homology of algebras of pseudo-differential symbols and the noncommutative residue. (English) Zbl 0646.58026 \(K\)-Theory 1, No. 4, 385-403 (1987). Reviewer: V.Ivrij MSC: 58J40 14C35 PDFBibTeX XMLCite \textit{J.-L. Brylinski} and \textit{E. Getzler}, \(K\)-Theory 1, No. 4, 385--403 (1987; Zbl 0646.58026) Full Text: DOI
Brylinski, J. L. (ed.); Monteiro Fernandes, T. (ed.) Géométrie et analyse microlocales. (French) Zbl 0588.00023 Astérisque, 140-141. Publié avec le concours du Centre National de la Recherche Scientifique. Paris: Société Mathématique de France. 252 p. FF 160.00; $ 21.00 (1986). MSC: 00Bxx 58-06 35-06 PDFBibTeX XML
Brylinski, J. L. La classe fondamentale d’une variété algébrique engendre le \({\mathcal D}\)-module qui calcule sa cohomologie d’intersection. (D’après Masaki Kashiwara). (French) Zbl 0568.14010 Systèmes différentielles et singularités, Colloq. Luminy/France 1983, Astérisque 130, 260-271 (1985). Reviewer: M.Muro MSC: 14F10 14C17 58J10 58A10 58A12 32K15 PDFBibTeX XML
Brylinski, J. L. Modules holonômes à singularités régulières et filtration de Hodge. II. (Holonomic modules at regular singularities and Hodge filtration. II). (French) Zbl 0598.14008 Astérisque 101-102, 75-117 (1983). Reviewer: J.H.M.Steenbrink MSC: 14C30 32L99 14F40 58J10 14F10 58A14 PDFBibTeX XML
Brylinski, J. L. Modules holonomes à singularites régulières et filtration de Hodge. (French) Zbl 0523.14010 Algebraic geometry, Proc. int. Conf., La Rabida/Spain 1981, Lect. Notes Math. 961, 1-21 (1982). MSC: 14C30 14F40 32L10 14F10 55N35 32C35 14A20 58A14 58J10 PDFBibTeX XML
Brylinski, Jean-Luc; Dubson, Alberto S.; Kashiwara, Masaki Formule de l’indice pour les modules holonomes et obstruction d’Euler locale. (French) Zbl 0492.58021 C. R. Acad. Sci., Paris, Sér. I 293, 573-576 (1981). MSC: 58J20 35A30 32C36 14C40 32S05 32Sxx PDFBibTeX XMLCite \textit{J.-L. Brylinski} et al., C. R. Acad. Sci., Paris, Sér. I 293, 573--576 (1981; Zbl 0492.58021)