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Volumn 88, Issue 2, 2004, Pages 405-435

Bundle 2-gerbes

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EID: 1642307315     PISSN: 00246115     EISSN: None     Source Type: Journal    
DOI: 10.1112/S0024611503014357     Document Type: Conference Paper
Times cited : (45)

References (22)
  • 1
    • 0002445683 scopus 로고    scopus 로고
    • Monoidal globular categories as a natural environment for the theory of weak n-categories
    • M. A. BATANIN, 'Monoidal globular categories as a natural environment for the theory of weak n-categories', Adv. Math. 136 (1998) 39-103.
    • (1998) Adv. Math. , vol.136 , pp. 39-103
    • Batanin, M.A.1
  • 2
    • 0002831987 scopus 로고
    • Introduction to bicategories
    • Springer, Berlin
    • J. BÉNABOU, Introduction to bicategories, Lecture Notes in Mathematics 47 (Springer, Berlin, 1967).
    • (1967) Lecture Notes in Mathematics , vol.47
    • Bénabou, J.1
  • 3
    • 0001990148 scopus 로고
    • On the classification of 2-gerbes and 2-stacks
    • Société Mathématique de France, Marseille
    • L. BREEN, On the classification of 2-gerbes and 2-stacks, Astérisque 225 (Société Mathématique de France, Marseille, 1994).
    • (1994) Astérisque , vol.225
    • Breen, L.1
  • 4
    • 0003241840 scopus 로고
    • Loop spaces, characteristic classes and geometric quantization
    • Birkhäuser, Boston, MA
    • J.-L. BRYLINSKI, Loop spaces, characteristic classes and geometric quantization, Progress in Mathematics 107 (Birkhäuser, Boston, MA, 1993).
    • (1993) Progress in Mathematics , vol.107
    • Brylinski, J.-L.1
  • 5
    • 0039067577 scopus 로고
    • Holomorphic gerbes and the Beilinson regulator
    • K-theory-Strasbourg 1992, Société Mathématique de France, Marseille
    • J.-L. BRYLINSKI, 'Holomorphic gerbes and the Beilinson regulator', K-theory-Strasbourg 1992, Astérisque 226 (Société Mathématique de France, Marseille, 1994) 145-174.
    • (1994) Astérisque , vol.226 , pp. 145-174
    • Brylinski, J.-L.1
  • 6
    • 84974005606 scopus 로고
    • The geometry of degree-four characteristic classes and of line bundles on loop spaces. I
    • J.-L. BRYLINSKI and D. A. MCLAUGHLIN, 'The geometry of degree-four characteristic classes and of line bundles on loop spaces. I', Duke Math. J. 75 (1994) 603-638.
    • (1994) Duke Math. J. , vol.75 , pp. 603-638
    • Brylinski, J.-L.1    McLaughlin, D.A.2
  • 7
    • 0040872255 scopus 로고
    • A geometric construction of the first Pontryagin class
    • Quantum topology (ed. L. H. Kauffman and R. A. Baadhio) (World Scientific, River Edge, NJ)
    • J.-L. BRYLINSKI and D. A. MCLAUGHLIN, 'A geometric construction of the first Pontryagin class', Quantum topology (ed. L. H. Kauffman and R. A. Baadhio), Series on Knots and Everything 3 (World Scientific, River Edge, NJ, 1993) 209-220.
    • (1993) Series on Knots and Everything , vol.3 , pp. 209-220
    • Brylinski, J.-L.1    McLaughlin, D.A.2
  • 8
    • 0013030592 scopus 로고    scopus 로고
    • Fadeev's anomaly and bundle gerbes
    • A. L. CAREY and M. K. MURRAY, 'Fadeev's anomaly and bundle gerbes', Lett. Math. Phys. 37 (1996) 29-36.
    • (1996) Lett. Math. Phys. , vol.37 , pp. 29-36
    • Carey, A.L.1    Murray, M.K.2
  • 9
    • 0031065067 scopus 로고    scopus 로고
    • Index theory, gerbes and Hamiltonian quantization
    • A. L. CAREY, J. MICKELSSON and M. K. MURRAY, 'Index theory, gerbes and Hamiltonian quantization', Comm. Math. Phys. 193 (1997) 702-722.
    • (1997) Comm. Math. Phys. , vol.193 , pp. 702-722
    • Carey, A.L.1    Mickelsson, J.2    Murray, M.K.3
  • 10
    • 0030641757 scopus 로고    scopus 로고
    • Higher bundle gerbes and cohomology classes in gauge theory
    • A. L. CAREY, M. K. MURRAY and B. WANG, 'Higher bundle gerbes and cohomology classes in gauge theory', J. Geom. Phys. 21 (1997) 183-197.
    • (1997) J. Geom. Phys. , vol.21 , pp. 183-197
    • Carey, A.L.1    Murray, M.K.2    Wang, B.3
  • 11
    • 0037961171 scopus 로고
    • Curvature and characteristic classes
    • Springer, Berlin
    • J. L. DUPONT, Curvature and characteristic classes, Lecture Notes in Mathematics 640 (Springer, Berlin, 1978).
    • (1978) Lecture Notes in Mathematics , vol.640
    • Dupont, J.L.1
  • 14
    • 84966236065 scopus 로고
    • The inverse function theorem of Nash and Moser
    • R. S. HAMILTON, 'The inverse function theorem of Nash and Moser', Bull. Amer. Math. Soc. 7 (1982) 65-222.
    • (1982) Bull. Amer. Math. Soc. , vol.7 , pp. 65-222
    • Hamilton, R.S.1
  • 15
    • 0003288381 scopus 로고    scopus 로고
    • Lectures on special Lagrangian submanifolds
    • Winter school on mirror symmetry, vector bundles and Lagrangian submanifolds, Cambridge, MA, 1999 (ed. C. Vafa and S.-T. Yau), American Mathematical Society, Providence, RI
    • N. HITCHIN, 'Lectures on special Lagrangian submanifolds', Winter school on mirror symmetry, vector bundles and Lagrangian submanifolds, Cambridge, MA, 1999 (ed. C. Vafa and S.-T. Yau), AMS/IP Studies in Advanced Mathematics 23 (American Mathematical Society, Providence, RI, 2001) 151-182.
    • (2001) AMS/IP Studies in Advanced Mathematics , vol.23 , pp. 151-182
    • Hitchin, N.1
  • 16
    • 0001105583 scopus 로고
    • Review of the elements of 2-categories
    • Springer, Berlin
    • G. M. KELLY and R. STREET, Review of the elements of 2-categories, Lecture Notes in Mathematics 420 (Springer, Berlin, 1974).
    • (1974) Lecture Notes in Mathematics , vol.420
    • Kelly, G.M.1    Street, R.2
  • 17
    • 0037174517 scopus 로고    scopus 로고
    • Holonomy and parallel transport for abelian gerbes
    • M. MACKAAY and R. PICKEN, 'Holonomy and parallel transport for abelian gerbes', Adv. Math. 170 (2002) 287-339.
    • (2002) Adv. Math. , vol.170 , pp. 287-339
    • Mackaay, M.1    Picken, R.2
  • 20
    • 0000987739 scopus 로고    scopus 로고
    • Bundle gerbes: Stable isomorphism and local theory
    • M. K. MURRAY and D. STEVENSON, 'Bundle gerbes: stable isomorphism and local theory', J. London Math. Soc. (2) 62 (2000) 925-937.
    • (2000) J. London Math. Soc. (2) , vol.62 , pp. 925-937
    • Murray, M.K.1    Stevenson, D.2
  • 22
    • 0013260041 scopus 로고    scopus 로고
    • PhD Thesis, University of Adelaide, arXiv:math.DG/0004177
    • D. STEVENSON, 'The geometry of bundle gerbes', PhD Thesis, University of Adelaide, 2000, arXiv:math.DG/0004177.
    • (2000) The Geometry of Bundle Gerbes
    • Stevenson, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.