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Volumn 15, Issue 2, 2011, Pages 609-676

Central extensions of smooth 2-groups and a finite-dimensional string 2-group

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EID: 79957490354     PISSN: 13640380     EISSN: 13640380     Source Type: Journal    
DOI: 10.2140/gt.2011.15.609     Document Type: Article
Times cited : (104)

References (66)
  • 2
    • 0035604159 scopus 로고    scopus 로고
    • Elliptic spectra, the Witten genus and the theorem of the cube
    • MR1869850
    • M Ando, MJ Hopkins, NP Strickland, Elliptic spectra, the Witten genus and the theorem of the cube, Invent. Math. 146 (2001) 595-687 MR1869850
    • (2001) Invent. Math , vol.146 , pp. 595-687
    • Ando, M.1    Hopkins, M.J.2    Strickland, N.P.3
  • 3
    • 13244264886 scopus 로고    scopus 로고
    • Nonabelian bundle gerbes, their differential geometry and gauge theory
    • MR2117631
    • P Aschieri, L Cantini, B Juřco, Nonabelian bundle gerbes, their differential geometry and gauge theory, Comm. Math. Phys. 254 (2005) 367-400 MR2117631
    • (2005) Comm. Math. Phys , vol.254 , pp. 367-400
    • Aschieri, P.1    Cantini, L.2    Juřco, B.3
  • 5
    • 18544362027 scopus 로고    scopus 로고
    • Higher-dimensional algebra. V.2-groups
    • MR2068521
    • JC Baez, AD Lauda, Higher-dimensional algebra. V. 2-groups, Theory Appl. Categ. 12 (2004) 423-491 MR2068521
    • (2004) Theory Appl. Categ , vol.12 , pp. 423-491
    • Baez, J.C.1    Lauda, A.D.2
  • 6
    • 0030578646 scopus 로고    scopus 로고
    • Higher-dimensional algebra. I. Braided monoidal 2-categories
    • MR1402727
    • JC Baez, M Neuchl, Higher-dimensional algebra. I. Braided monoidal 2-categories, Adv. Math. 121 (1996) 196-244 MR1402727
    • (1996) Adv. Math , vol.121 , pp. 196-244
    • Baez, J.C.1    Neuchl, M.2
  • 8
    • 79957530507 scopus 로고    scopus 로고
    • 2-torsors, PhD thesis, Ludwig-Maximilians-Universität München (2008) Available at
    • I Bakovĺc, Bigroupoid 2-torsors, PhD thesis, Ludwig-Maximilians-Universität München (2008) Available at http://www.irb.hr/korisnici/ibakovic/ 2torsbig.pdf
    • Bigroupoid
    • Bakovĺc, I.1
  • 16
    • 0031571058 scopus 로고    scopus 로고
    • Monoidal bicategories and Hopf algebroids
    • MR1458415
    • B Day, R Street, Monoidal bicategories and Hopf algebroids, Adv. Math. 129 (1997) 99-157 MR1458415
    • (1997) Adv. Math , vol.129 , pp. 99-157
    • Day, B.1    Street, R.2
  • 17
  • 19
    • 0003323690 scopus 로고
    • Étale homotopy of simplicial schemes
    • Princeton Univ. Press, MR676809
    • EM Friedlander, Étale homotopy of simplicial schemes, Annals of Math. Studies 104, Princeton Univ. Press (1982) MR676809
    • (1982) Annals of Math. Studies , vol.104
    • Friedlander, E.M.1
  • 20
    • 4043155453 scopus 로고
    • Cohomologie non abélienne
    • Springer, Berlin, MR0344253
    • J Giraud, Cohomologie non abélienne, Die Grund. der math. Wissenschaften 179, Springer, Berlin (1971) MR0344253
    • (1971) Die Grund. der math. Wissenschaften , vol.179
    • Giraud, J.1
  • 21
    • 0003302149 scopus 로고    scopus 로고
    • Simplicial homotopy theory
    • Birkhäuser Verlag, Basel, MR1711612
    • PG Goerss, J F Jardine, Simplicial homotopy theory, Progress in Math. 174, Birkhäuser Verlag, Basel (1999) MR1711612
    • (1999) Progress in Math , vol.174
    • Goerss, P.G.1    Jardine, J.F.2
  • 25
  • 26
    • 0000922206 scopus 로고
    • Topological modular forms, the Witten genus, and the theorem of the cube
    • from:, (Zürich, 1994), (SD Chatterji, editor), Birkhäuser, Basel, MR1403956
    • MJ Hopkins, Topological modular forms, the Witten genus, and the theorem of the cube, from: "Proceedings of the International Congress of Mathematicians, Vol. 1, 2 (Zürich, 1994)", (SD Chatterji, editor), Birkhäuser, Basel (1995) 554-565 MR1403956
    • (1995) Proceedings of the International Congress of Mathematicians , vol.1-2 , pp. 554-565
    • Hopkins, M.J.1
  • 27
    • 3042719734 scopus 로고    scopus 로고
    • Algebraic topology and modular forms
    • from:, (Beijing, 2002)", (T T Li, editor), Higher Ed. Press, Beijing, MR1989190
    • MJ Hopkins, Algebraic topology and modular forms, from: "Proceedings of the International Congress of Mathematicians, Vol. I (Beijing, 2002)", (T T Li, editor), Higher Ed. Press, Beijing (2002) 291-317 MR1989190
    • (2002) Proceedings of the International Congress of Mathematicians , vol.1 , pp. 291-317
    • Hopkins, M.J.1
  • 28
    • 33750183878 scopus 로고    scopus 로고
    • Quadratic functions in geometry, topology, and M-theory
    • MR2192936
    • MJ Hopkins, IM Singer, Quadratic functions in geometry, topology, and M-theory, J. Differential Geom. 70 (2005) 329-452 MR2192936
    • (2005) J. Differential Geom , vol.70 , pp. 329-452
    • Hopkins, M.J.1    Singer, I.M.2
  • 29
    • 79957512394 scopus 로고
    • Cohomology rings of compact connected groups and their homogeneous spaces
    • MR0047054
    • S-T Hu, Cohomology rings of compact connected groups and their homogeneous spaces, Ann. of Math. (2) 55 (1952) 391-419 MR0047054
    • (1952) Ann. of Math , vol.2 , Issue.55 , pp. 391-419
    • Hu, S.-T.1
  • 30
    • 0141808391 scopus 로고
    • Cohomology theory in topological groups
    • MR0051244
    • S-T Hu, Cohomology theory in topological groups, Michigan Math. J. 1 (1952) 11-59 MR0051244
    • (1952) Michigan Math. J , vol.1 , pp. 11-59
    • Hu, S.-T.1
  • 31
    • 0000995338 scopus 로고
    • On some types of topological groups
    • MR0029911
    • K Iwasawa, On some types of topological groups, Ann. of Math. (2) 50 (1949) 507-558 MR0029911
    • (1949) Ann. of Math , vol.2 , Issue.50 , pp. 507-558
    • Iwasawa, K.1
  • 32
    • 43949173985 scopus 로고
    • Braided tensor categories
    • MR1250465
    • A Joyal, R Street, Braided tensor categories, Adv. Math. 102 (1993) 20-78 MR1250465
    • (1993) Adv. Math , vol.102 , pp. 20-78
    • Joyal, A.1    Street, R.2
  • 34
    • 0001035527 scopus 로고
    • 2-categories and Zamolodchikov tetrahedra equations
    • from: "Algebraic groups and their generalizations: quantum and infinite-dimensional methods (University Park, PA, 1991)", (W J Haboush, BJ Parshall, editors), Amer. Math. Soc., MR1278735
    • M Kapranov, V Voevodsky, 2-categories and Zamolodchikov tetrahedra equations, from: "Algebraic groups and their generalizations: quantum and infinite-dimensional methods (University Park, PA, 1991)", (W J Haboush, BJ Parshall, editors), Proc. Sympos. Pure Math. 56, Amer. Math. Soc. (1994) 177-259 MR1278735
    • (1994) Proc. Sympos. Pure Math , vol.56 , pp. 177-259
    • Kapranov, M.1    Voevodsky, V.2
  • 35
    • 38149148401 scopus 로고
    • Braided monoidal 2-categories and Manin-Schechtman higher braid groups
    • MR1266348
    • M Kapranov, V Voevodsky, Braided monoidal 2-categories and Manin-Schechtman higher braid groups, J. Pure Appl. Algebra 92 (1994) 241-267 MR1266348
    • (1994) J. Pure Appl. Algebra , vol.92 , pp. 241-267
    • Kapranov, M.1    Voevodsky, V.2
  • 36
    • 0001373319 scopus 로고
    • World-sheet anomalies and loop geometry
    • MR892061
    • T P Killingback, World-sheet anomalies and loop geometry, Nuclear Phys. B 288 (1987) 578-588 MR892061
    • (1987) Nuclear Phys. B , vol.288 , pp. 578-588
    • Killingback, T.P.1
  • 40
    • 78649602363 scopus 로고    scopus 로고
    • Higher topos theory
    • Princeton Univ. Press, MR2522659
    • J Lurie, Higher topos theory, Annals of Math. Studies 170, Princeton Univ. Press (2009) MR2522659
    • (2009) Annals of Math. Studies , vol.170
    • Lurie, J.1
  • 41
    • 0000117764 scopus 로고
    • On the theory of the Lie groups in the large
    • MR0013165
    • A Malcev, On the theory of the Lie groups in the large, Rec. Math. [Mat. Sbornik] N. S. 16 (58) (1945) 163-190 MR0013165
    • (1945) Rec. Math. [Mat. Sbornik] N. S , vol.16 , Issue.58 , pp. 163-190
    • Malcev, A.1
  • 42
    • 23944511003 scopus 로고
    • Corrections to the paper "On the theory of the Lie groups in the large. "
    • MR0018651
    • A Malcev, Corrections to the paper "On the theory of the Lie groups in the large. ", Rec. Math. [Mat Sbornik] N. S. 19 (61) (1946) 523-524 MR0018651
    • (1946) Rec. Math. [Mat Sbornik] N. S , vol.19 , Issue.61 , pp. 523-524
    • Malcev, A.1
  • 43
    • 0003330993 scopus 로고
    • The geometry of iterated loop spaces
    • Springer, Berlin, MR0420610
    • J P May, The geometry of iterated loop spaces, Lectures Notes in Math. 271, Springer, Berlin (1972) MR0420610
    • (1972) Lectures Notes in Math , vol.271
    • May, J.P.1
  • 44
    • 14544305984 scopus 로고    scopus 로고
    • The basic gerbe over a compact simple Lie group
    • MR2026898
    • E Meinrenken, The basic gerbe over a compact simple Lie group, Enseign. Math. (2) 49 (2003) 307-333 MR2026898
    • (2003) Enseign. Math , vol.2 , Issue.49 , pp. 307-333
    • Meinrenken, E.1
  • 45
    • 0001750989 scopus 로고    scopus 로고
    • Bundle gerbes
    • MR1405064
    • MK Murray, Bundle gerbes, J. London Math. Soc. (2) 54 (1996) 403-416 MR1405064
    • (1996) J. London Math. Soc , vol.2 , Issue.54 , pp. 403-416
    • Murray, M.K.1
  • 47
    • 0002409804 scopus 로고    scopus 로고
    • Etendues and stacks as bicategories of fractions
    • MR1401424
    • DA Pronk, Etendues and stacks as bicategories of fractions, Compositio Math. 102 (1996) 243-303 MR1401424
    • (1996) Compositio Math , vol.102 , pp. 243-303
    • Pronk, D.A.1
  • 48
    • 0000790004 scopus 로고
    • Higher algebraic K-theory. I
    • from: "Algebraic K-theory, I: Higher K-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972)", (H Bass, editor), Springer, Berlin, MR0338129
    • D Quillen, Higher algebraic K-theory. I, from: "Algebraic K-theory, I: Higher K-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972)", (H Bass, editor), Lecture Notes in Math. 341, Springer, Berlin (1973) 85-147 MR0338129
    • (1973) Lecture Notes in Math , vol.341 , pp. 85-147
    • Quillen, D.1
  • 50
    • 79957527258 scopus 로고    scopus 로고
    • Are finite colimits of topological spaces stable under pull-back?
    • Available at
    • C Rezk, Are finite colimits of topological spaces stable under pull-back?, Website entry (2010) Available at http://mathoverflow.net/questions/34805
    • (2010) Website entry
    • Rezk, C.1
  • 52
    • 79952801542 scopus 로고    scopus 로고
    • L1-algebra connections and applications to String-and Chern-Simons n-transport
    • from:, (B Fauser, J Tolksdorf, E Zeidler, editors), Birkhäuser, Basel, MR2742762
    • H Sati, U Schreiber, J Stasheff, L1-algebra connections and applications to String-and Chern-Simons n-transport, from: "Quantum field theory", (B Fauser, J Tolksdorf, E Zeidler, editors), Birkhäuser, Basel (2009) 303-424 MR2742762
    • (2009) Quantum field theory , pp. 303-424
    • Sati, H.1    Schreiber, U.2    Stasheff, J.3
  • 55
    • 51649180460 scopus 로고
    • Classifying spaces and spectral sequences
    • MR0232393
    • G Segal, Classifying spaces and spectral sequences, Inst. Hautes Études Sci. Publ. Math. (1968) 105-112 MR0232393
    • (1968) Inst. Hautes Études Sci. Publ. Math , pp. 105-112
    • Segal, G.1
  • 56
    • 0038689492 scopus 로고
    • Cohomology of topological groups
    • from:, (INDAM, Rome, 1968/69)", Academic Press, London, MR0280572
    • G Segal, Cohomology of topological groups, from: "Symposia Mathematica, Vol. IV (INDAM, Rome, 1968/69)", Academic Press, London (1970) 377-387 MR0280572
    • (1970) Symposia Mathematica , vol.4 , pp. 377-387
    • Segal, G.1
  • 57
    • 79957508198 scopus 로고
    • A classifying space of a topological group in the sense of Gel'fand-Fuks
    • MR0375306
    • G Segal, A classifying space of a topological group in the sense of Gel'fand-Fuks, Funkcional. Anal. i Priložen. 9 (1975) 48-50 MR0375306
    • (1975) Funkcional. Anal. i Priložen , vol.9 , pp. 48-50
    • Segal, G.1
  • 58
    • 0030554153 scopus 로고    scopus 로고
    • A conjecture concerning positive Ricci curvature and the Witten genus
    • MR1380455
    • S Stolz, A conjecture concerning positive Ricci curvature and the Witten genus, Math. Ann. 304 (1996) 785-800 MR1380455
    • (1996) Math. Ann , vol.304 , pp. 785-800
    • Stolz, S.1
  • 60
    • 17844398545 scopus 로고    scopus 로고
    • What is an elliptic object?
    • from:, London Math. Soc. Lecture Note Ser. 308, Cambridge Univ. Press, MR2079378
    • S Stolz, P Teichner, What is an elliptic object?, from: "Topology, geometry and quantum field theory", London Math. Soc. Lecture Note Ser. 308, Cambridge Univ. Press (2004) 247-343 MR2079378
    • (2004) Topology, geometry and quantum field theory , pp. 247-343
    • Stolz, S.1    Teichner, P.2
  • 63
    • 0003021336 scopus 로고
    • Correction to: "Fibrations in bicategories"
    • MR903151
    • R Street, Correction to: "Fibrations in bicategories" [62], Cahiers Topologie Géom. Différentielle Catég. 28 (1987) 53-56 MR903151
    • (1987) Cahiers Topologie Géom. Différentielle Catég , vol.62 , Issue.28 , pp. 53-56
    • Street, R.1
  • 65
    • 0002045062 scopus 로고
    • The index of the Dirac operator in loop space
    • from:, (P S Landweber, editor), Lecture Notes in Math. 1326, Springer, Berlin, MR970288
    • E Witten, The index of the Dirac operator in loop space, from: "Elliptic curves and modular forms in algebraic topology (Princeton, NJ, 1986)", (P S Landweber, editor), Lecture Notes in Math. 1326, Springer, Berlin (1988) 161-181 MR970288
    • (1988) Elliptic curves and modular forms in algebraic topology (Princeton, NJ, 1986) , pp. 161-181
    • Witten, E.1


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