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 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, 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, J.-L.; McLaughlin, D. A. Čech cocycles for characteristic classes. (English) Zbl 0859.57029 Commun. Math. Phys. 178, No. 1, 225-236 (1996). MSC: 57R20 55N05 PDFBibTeX XMLCite \textit{J. L. Brylinski} and \textit{D. A. McLaughlin}, Commun. Math. Phys. 178, No. 1, 225--236 (1996; Zbl 0859.57029) Full Text: DOI
Brylinski, J.-L.; McLaughlin, D. A. The geometry of degree-4 characteristic classes and of line bundles on loop spaces. II. (English) Zbl 0864.57026 Duke Math. J. 83, No. 1, 105-139 (1996). Reviewer: I.D.Albu (Timişoara) MSC: 57R40 57T10 32L05 PDFBibTeX XMLCite \textit{J. L. Brylinski} and \textit{D. A. McLaughlin}, Duke Math. J. 83, No. 1, 105--139 (1996; Zbl 0864.57026) Full Text: DOI
Brylinski, J.-L.; McLaughlin, D. A. The converse of the Segal-Witten reciprocity law. (English) Zbl 0856.57033 Int. Math. Res. Not. 1996, No. 8, 371-380 (1996). Reviewer: V.Abramov (Tartu) MSC: 57R99 22E67 PDFBibTeX XMLCite \textit{J. L. Brylinski} and \textit{D. A. McLaughlin}, Int. Math. Res. Not. 1996, No. 8, 371--380 (1996; Zbl 0856.57033) Full Text: DOI
Brylinski, J.-L.; McLaughlin, D. A. The geometry of degree-four characteristic classes and of line bundles on loop spaces. I. (English) Zbl 0844.57025 Duke Math. J. 75, No. 3, 603-638 (1994). Reviewer: I.D.Albu (Timişoara) MSC: 57R20 53C07 22E65 PDFBibTeX XMLCite \textit{J. L. Brylinski} and \textit{D. A. McLaughlin}, Duke Math. J. 75, No. 3, 603--638 (1994; Zbl 0844.57025) Full Text: DOI Backlinks: MO
Brylinski, Jean-Luc; McLaughlin, Dennis A geometric construction of the first Pontryagin class. (English) Zbl 0837.57022 Kauffman, Louis H. (ed.) et al., Quantum topology. Based on an AMS special session on topological quantum field theory, held in Dayton, OH, USA on October 30-November 1, 1992 at the general meeting of the American Mathematical Society. Singapore: World Scientific. Ser. Knots Everything. 3, 209-220 (1993). MSC: 57R20 PDFBibTeX XMLCite \textit{J.-L. Brylinski} and \textit{D. McLaughlin}, in: Quantum topology. Based on an AMS special session on topological quantum field theory, held in Dayton, OH, USA on October 30-November 1, 1992 at the general meeting of the American Mathematical Society. Singapore: World Scientific. 209--220 (1993; Zbl 0837.57022)
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 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 Some examples of Hochschild and cyclic homology. (English) Zbl 0643.16012 Algebraic groups, Proc. Symp., Utrecht/Neth. 1986, Lect. Notes Math. 1271, 33-72 (1987). Reviewer: H.Lange MSC: 16E40 57T10 14F40 43A22 22E35 PDFBibTeX XML
Brylinski, Jean-Luc Cyclic homology and equivariant theories. (English) Zbl 0625.55003 Ann. Inst. Fourier 37, No. 4, 15-28 (1987). MSC: 55N91 57S15 46L80 16E40 PDFBibTeX XMLCite \textit{J.-L. Brylinski}, Ann. Inst. Fourier 37, No. 4, 15--28 (1987; Zbl 0625.55003) Full Text: DOI Numdam EuDML
Borho, Walter; Brylinski, Jean-Luc; MacPherson, Robert Springer’s Weyl group representations through characteristic classes of cone bundles. (English) Zbl 0624.14015 Math. Ann. 278, 273-289 (1987). MSC: 14F99 14M15 20G05 20G10 57R20 14F05 PDFBibTeX XMLCite \textit{W. Borho} et al., Math. Ann. 278, 273--289 (1987; Zbl 0624.14015) Full Text: DOI EuDML
Baum, Paul; Brylinski, Jean-Luc; MacPherson, Robert Cohomologie équivariante délocalisée. (Delocalized equivariant cohomology). (French) Zbl 0589.55003 C. R. Acad. Sci., Paris, Sér. I 300, 605-608 (1985). Reviewer: L.Maxim MSC: 55N25 55N15 57S15 57R20 PDFBibTeX XMLCite \textit{P. Baum} et al., C. R. Acad. Sci., Paris, Sér. I 300, 605--608 (1985; Zbl 0589.55003)
Borho, W.; Brylinski, J.-L. Differential operators on homogeneous spaces. III: Characteristic varieties of Harish Chandra modules and of primitive ideals. (English) Zbl 0577.22014 Invent. Math. 80, 1-68 (1985). Reviewer: A.Neagu MSC: 22E46 14M17 57T15 32M10 PDFBibTeX XMLCite \textit{W. Borho} and \textit{J. L. Brylinski}, Invent. Math. 80, 1--68 (1985; Zbl 0577.22014) Full Text: DOI EuDML