메뉴 건너뛰기




Volumn , Issue , 2010, Pages

Consistent Orientation of Moduli Spaces

Author keywords

Frobenius ring structure; Moduli; Orientation; Topological quantum field theory

Indexed keywords


EID: 84920182737     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1093/acprof:oso/9780199534920.003.0019     Document Type: Chapter
Times cited : (36)

References (24)
  • 1
    • 0030496076 scopus 로고    scopus 로고
    • Two-dimensional topological quantum field theories and Frobenius algebras
    • Abrams, L. (1996). Two-dimensional topological quantum field theories and Frobenius algebras. J. Knot Theory Ramifications 5(5), 569-87.
    • (1996) J. Knot Theory Ramifications , vol.5 , Issue.5 , pp. 569-587
    • Abrams, L.1
  • 2
    • 0141521324 scopus 로고
    • The real K-theory of classifying spaces
    • Anderson, D. W. (1964). The real K-theory of classifying spaces. Proc. Nat. Acad. Sci. 51(4), 634-6.
    • (1964) Proc. Nat. Acad. Sci , vol.51 , Issue.4 , pp. 634-636
    • Anderson, D.W.1
  • 3
    • 67650592439 scopus 로고
    • K-theory and reality
    • Atiyah, M. F. (1966). K-theory and reality. Q. J. Math. Oxford Ser. (2) 17, 367-86.
    • (1966) Q. J. Math. Oxford Ser , vol.17 , Issue.2 , pp. 367-386
    • Atiyah, M.F.1
  • 4
    • 0002115802 scopus 로고
    • The index problem for manifolds with boundary
    • 1964. Oxford University Press, London
    • Atiyah, M. F. and Bott, R. (1964). The index problem for manifolds with boundary. Differential Analysis, Bombay Colloquium, 1964. Oxford University Press, London, pp. 175-86.
    • (1964) Differential Analysis, Bombay Colloquium , pp. 175-186
    • Atiyah, M.F.1    Bott, R.2
  • 5
    • 85115937468 scopus 로고    scopus 로고
    • Inspired by S. S. Chern, Nankai Tracts Mathematics, World Scientific Publication, Hackensack, NJ, arXiv:math/0510674
    • Atiyah, M. and Segal, G. (2006). Twisted K-Theory and Cohomology, Inspired by S. S. Chern, Nankai Tracts Mathematics, Vol. 11, World Scientific Publication, Hackensack, NJ, pp. 5-43, arXiv:math/0510674.
    • (2006) Twisted K-Theory and Cohomology , vol.11 , pp. 5-43
    • Atiyah, M.1    Segal, G.2
  • 6
    • 0000238246 scopus 로고
    • The index of elliptic operators. V
    • Atiyah, M. F. and Singer, I. M. (1971). The index of elliptic operators. V, Ann. Math. (2) 93, 139-49.
    • (1971) Ann. Math , vol.93 , Issue.2 , pp. 139-149
    • Atiyah, M.F.1    Singer, I.M.2
  • 7
    • 33846456192 scopus 로고    scopus 로고
    • Topological conformal field theories and Calabi-Yau categories
    • arXiv:math/0412149
    • Costello, K. (2007). Topological conformal field theories and Calabi-Yau categories. Adv. Math. 210(1), 165-214, arXiv:math/0412149.
    • (2007) Adv. Math , vol.210 , Issue.1 , pp. 165-214
    • Costello, K.1
  • 8
    • 84972514117 scopus 로고
    • The orientation of Yang-Mills moduli spaces and 4-manifold topology
    • Donaldson, S. K. (1987). The orientation of Yang-Mills moduli spaces and 4-manifold topology. J. Differential Geom. 26(3), 397-428.
    • (1987) J. Differential Geom , vol.26 , Issue.3 , pp. 397-428
    • Donaldson, S.K.1
  • 10
    • 51649172095 scopus 로고
    • Graded Brauer groups and K-theory with local coefficients
    • Donovan, P. and Karoubi, M. (1970). Graded Brauer groups and K-theory with local coefficients. Inst. Hautes Études Sci. Publ. Math. No. 38, 5-25.
    • (1970) Inst. Hautes Études Sci. Publ. Math , vol.38 , pp. 5-25
    • Donovan, P.1    Karoubi, M.2
  • 11
    • 70349153902 scopus 로고    scopus 로고
    • Remarks on Chern-Simons theory
    • arXiv:0808.2507
    • Freed, D. S. (2009). Remarks on Chern-Simons theory. Bull. Amer. Math. Soc. 46, 221-254, arXiv:0808.2507.
    • (2009) Bull. Amer. Math. Soc , vol.46 , pp. 221-254
    • Freed, D.S.1
  • 12
    • 34547564753 scopus 로고    scopus 로고
    • Loop groups and twisted K-theory I
    • arXiv:0711.1906
    • Freed, D. S., Hopkins, M. J. and Teleman, C. Loop groups and twisted K-theory I, arXiv:0711.1906.
    • Freed, D.S.1    Hopkins, M.J.2    Teleman, C.3
  • 13
    • 34547564753 scopus 로고    scopus 로고
    • Loop groups and twisted K-theory II
    • arXiv:math/0511232
    • Freed, D. S., Hopkins, M. J. and Teleman, C. Loop groups and twisted K-theory II, arXiv:math/0511232.
    • Freed, D.S.1    Hopkins, M.J.2    Teleman, C.3
  • 14
    • 34547564753 scopus 로고    scopus 로고
    • Loop groups and twisted K-theory III
    • arXiv:math/0312155
    • Freed, D. S., Hopkins, M. J. and Teleman, C. Loop groups and twisted K-theory III, arXiv:math/0312155.
    • Freed, D.S.1    Hopkins, M.J.2    Teleman, C.3
  • 15
    • 85164952107 scopus 로고    scopus 로고
    • Twisted equivariant Ktheory with complex coefficients
    • arXiv:math/0206257
    • Freed, D. S., Hopkins, M. J. and Teleman, C. (2007b). Twisted equivariant Ktheory with complex coefficients. J. Topol. 1, arXiv:math/0206257.
    • (2007) J. Topol , vol.1
    • Freed, D.S.1    Hopkins, M.J.2    Teleman, C.3
  • 16
    • 66149185321 scopus 로고    scopus 로고
    • The homotopy type of the cobordism category
    • arXiv:math/0605249
    • Galatius, S., Madsen, I., Tillmann, U. and Weiss, M. (2009). The homotopy type of the cobordism category. Acta Math. 202, 195-239, arXiv:math/0605249.
    • (2009) Acta Math , vol.202 , pp. 195-239
    • Galatius, S.1    Madsen, I.2    Tillmann, U.3    Weiss, M.4
  • 18
    • 0003288381 scopus 로고    scopus 로고
    • Lectures on special Lagrangian submanifolds
    • 1999). AMS/IP Studies in Advanced Mathematics, American Mathematical Society, Providence, RI, arXiv:math/9907034
    • Hitchin, N. (2001). Lectures on special Lagrangian submanifolds. Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds (Cambridge, MA, 1999). AMS/IP Studies in Advanced Mathematics, Vol. 23, American Mathematical Society, Providence, RI, pp. 151-82, arXiv:math/9907034.
    • (2001) Winter School on Mirror Symmetry, Vector Bundles and Lagrangian Submanifolds (Cambridge, MA , vol.23 , pp. 151-182
    • Hitchin, N.1
  • 19
    • 34249763252 scopus 로고
    • Gromov-Witten classes, quantum cohomology, and enumerative geometry
    • in preparation, arXiv:hepth/9402147
    • Hopkins, M. J. and Lurie, J. in preparation. Kontsevich, M. and Manin, Yu. (1994). Gromov-Witten classes, quantum cohomology, and enumerative geometry. Commun. Math. Phys. 164(3), 525-62, arXiv:hepth/9402147.
    • (1994) Commun. Math. Phys , vol.164 , Issue.3 , pp. 525-562
    • Hopkins, M.J.1    Lurie, J.2    Kontsevich, M.3    Manin, Y.4
  • 20
    • 0035612850 scopus 로고    scopus 로고
    • The stable mapping class group and
    • Madsen, I. and Tillmann, U. (2001). The stable mapping class group and . Invent. Math. 145(3), 509-44.
    • (2001) Invent. Math , vol.145 , Issue.3 , pp. 509-544
    • Madsen, I.1    Tillmann, U.2
  • 21
    • 84861222644 scopus 로고    scopus 로고
    • The stable mapping class group and stable homotopy theory
    • European Mathematical Society, Zürich
    • Madsen, I. and Weiss, M. (2005). The stable mapping class group and stable homotopy theory. European Congress of Mathematics. European Mathematical Society, Zürich, pp. 283-307.
    • (2005) European Congress of Mathematics , pp. 283-307
    • Madsen, I.1    Weiss, M.2
  • 22
    • 39549108370 scopus 로고    scopus 로고
    • D-branes and K-theory in 2D topological field theory
    • arXiv:hep-th/0609042
    • Moore, G. W. and Segal, G. B. (2006). D-branes and K-theory in 2D topological field theory, arXiv:hep-th/0609042.
    • (2006)
    • Moore, G.W.1    Segal, G.B.2
  • 23
    • 0001750989 scopus 로고    scopus 로고
    • Bundle gerbes
    • Murray, M. K. (1996). Bundle gerbes. J. London Math. Soc. (2) 54(2), 403-16.
    • (1996) J. London Math. Soc , vol.54 , Issue.2 , pp. 403-416
    • Murray, M.K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.