메뉴 건너뛰기




Volumn 110, Issue 1, 1998, Pages 65-125

Modular operads

Author keywords

Bar construction; Feynman diagram; Graph; Operad; Symmetric functions

Indexed keywords


EID: 0001786656     PISSN: 0010437X     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1000245600345     Document Type: Article
Times cited : (253)

References (33)
  • 1
    • 0003319234 scopus 로고
    • Mathematical methods of classical mechanics
    • Springer-Verlag, New York
    • Arnold, V. I.: 'Mathematical methods of classical mechanics,' Graduate Texts in Math. 80, Springer-Verlag, New York, 1980.
    • (1980) Graduate Texts in Math. , vol.80
    • Arnold, V.I.1
  • 2
    • 0000970787 scopus 로고
    • On Vassiliev knot invariants
    • Bar-Natan, D.: On Vassiliev knot invariants, Topology 34 (1995) 423-472.
    • (1995) Topology , vol.34 , pp. 423-472
    • Bar-Natan, D.1
  • 3
    • 33646859849 scopus 로고
    • Quantum field theory techniques in graphical enumeration
    • Bessis, D., Itzykson, C. and Zuber, J. B.: Quantum field theory techniques in graphical enumeration, Adv. Appl. Math. 1 (1980) 109-157.
    • (1980) Adv. Appl. Math. , vol.1 , pp. 109-157
    • Bessis, D.1    Itzykson, C.2    Zuber, J.B.3
  • 4
    • 0042698554 scopus 로고
    • The möbius function and connected graphs
    • Cadogan, C. C.: The möbius function and connected graphs, J. Combin. Theory B11 (1971) 193-200.
    • (1971) J. Combin. Theory , vol.B11 , pp. 193-200
    • Cadogan, C.C.1
  • 5
    • 51649177554 scopus 로고
    • Théorie de Hodge, II
    • Deligne, P.: Théorie de Hodge, II, Publ. IHES 40 (1971) 5-58.
    • (1971) Publ. IHES , vol.40 , pp. 5-58
    • Deligne, P.1
  • 6
    • 51649181666 scopus 로고
    • The irreducibility of the moduli space of curves of given genus
    • Deligne, P. and Mumford, D.: The irreducibility of the moduli space of curves of given genus, Publ. IHES 36 (1969) 75-109.
    • (1969) Publ. IHES , vol.36 , pp. 75-109
    • Deligne, P.1    Mumford, D.2
  • 7
    • 0003347073 scopus 로고
    • Degeneration of Abelian varieties
    • Springer-Verlag, Berlin, Heidelberg, New York
    • Faltings, G. and Chai, C. L.: 'Degeneration of Abelian varieties,' Ergeb. Math. Grenzgeb. 22(3), Springer-Verlag, Berlin, Heidelberg, New York, 1990.
    • (1990) Ergeb. Math. Grenzgeb. , vol.22 , Issue.3
    • Faltings, G.1    Chai, C.L.2
  • 8
    • 21344494005 scopus 로고
    • Batalin-Vilkovisky algebras and two-dimensional topological field theories
    • Getzler, E.: Batalin-Vilkovisky algebras and two-dimensional topological field theories, Commun. Math. Phys. 159 (1994) 265-285.
    • (1994) Commun. Math. Phys. , vol.159 , pp. 265-285
    • Getzler, E.1
  • 9
    • 21344485518 scopus 로고
    • Equivariant cohomology and topological gravity
    • Getzler, E.: Equivariant cohomology and topological gravity, Commun. Math. Phys. 163 (1994) 473-490.
    • (1994) Commun. Math. Phys. , vol.163 , pp. 473-490
    • Getzler, E.1
  • 10
    • 0000218480 scopus 로고
    • Operads and moduli spaces of genus O Riemann surfaces
    • eds. R. Dijkgraaf et al., Birkhäuser, Boston
    • Getzler, E.: Operads and moduli spaces of genus O Riemann surfaces, in 'The moduli space of curves', eds. R. Dijkgraaf et al., Birkhäuser, Boston, 1995, 199-230.
    • (1995) The Moduli Space of Curves , pp. 199-230
    • Getzler, E.1
  • 12
    • 0001384030 scopus 로고
    • Cyclic operads and cyclic homology
    • ed. S. T. Yau, International Press, Cambridge, MA
    • Getzler, E. and Kapranov, M.: Cyclic operads and cyclic homology, in 'Geometry, Topology, and Physics for Raoul Bott,' ed. S. T. Yau, International Press, Cambridge, MA, 1995, 167-201.
    • (1995) Geometry, Topology, and Physics for Raoul Bott , pp. 167-201
    • Getzler, E.1    Kapranov, M.2
  • 14
    • 0003244564 scopus 로고
    • Produits tensoriels et produits topologiques
    • Grothendieck, A.: Produits tensoriels et produits topologiques, Mem. Amer. Math. Soc. 16 (1955).
    • (1955) Mem. Amer. Math. Soc. , vol.16
    • Grothendieck, A.1
  • 15
  • 16
    • 0000430358 scopus 로고
    • The Euler characteristic of the moduli space of curves
    • Harer, J. and Zagier, D.: The Euler characteristic of the moduli space of curves, Invent. Math. 85 (1986) 457-485.
    • (1986) Invent. Math. , vol.85 , pp. 457-485
    • Harer, J.1    Zagier, D.2
  • 17
    • 0000048283 scopus 로고
    • Residues and principal values on complex spaces
    • Herrera, M. and Lieberman, D.: Residues and principal values on complex spaces, Math. Ann. 194 (1971) 259-294.
    • (1971) Math. Ann. , vol.194 , pp. 259-294
    • Herrera, M.1    Lieberman, D.2
  • 19
    • 0000333790 scopus 로고
    • Matrix integration and combinatorics of modular groups
    • Itzykson, C. and Zuber, J.-B.: Matrix integration and combinatorics of modular groups, Commun. Math. Phys. 134 (1990) 197-207.
    • (1990) Commun. Math. Phys. , vol.134 , pp. 197-207
    • Itzykson, C.1    Zuber, J.-B.2
  • 20
    • 84942401057 scopus 로고
    • Sur les assemblages de lignes
    • Jordan, C.: Sur les assemblages de lignes, J. Reine Angew. Math. 70 (1869) 185-190.
    • (1869) J. Reine Angew. Math. , vol.70 , pp. 185-190
    • Jordan, C.1
  • 21
    • 0003290251 scopus 로고
    • Bombay lectures on highest weight representations of infinite dimensional Lie algebras
    • Singapore
    • Kac, V. G. and Raina, A. K.: 'Bombay lectures on highest weight representations of infinite dimensional Lie algebras,' World Scientific, Singapore, 1987.
    • (1987) World Scientific
    • Kac, V.G.1    Raina, A.K.2
  • 23
    • 0001792752 scopus 로고
    • Intersection theory on moduli spaces of curves and the matrix Airy function
    • Kontsevich, M.: Intersection theory on moduli spaces of curves and the matrix Airy function, Commun. Math. Phys. 147 (1992) 1-23.
    • (1992) Commun. Math. Phys. , vol.147 , pp. 1-23
    • Kontsevich, M.1
  • 24
    • 0000695814 scopus 로고
    • Formal (non)-commutative symplectic geometry
    • eds. L. Corwin et al., Birkhäuser, Boston
    • Kontsevich, M.: Formal (non)-commutative symplectic geometry, in 'The Gelfand mathematics seminars, 1990-1992,' eds. L. Corwin et al., Birkhäuser, Boston, 1993, 173-187.
    • (1993) The Gelfand Mathematics Seminars, 1990-1992 , pp. 173-187
    • Kontsevich, M.1
  • 25
    • 34249763252 scopus 로고
    • Gromov-Witten classes, quantum cohomology and enumerative geometry
    • Kontsevich, M. and Manin, Yu.: Gromov-Witten classes, quantum cohomology and enumerative geometry, Commun. Math. Phys. 164 (1994) 525-562.
    • (1994) Commun. Math. Phys. , vol.164 , pp. 525-562
    • Kontsevich, M.1    Manin, Yu.2
  • 27
    • 0005387855 scopus 로고    scopus 로고
    • Models for operads
    • Markl, M.: Models for operads, Comm. Alg. 24 (1996) 1471-1500.
    • (1996) Comm. Alg. , vol.24 , pp. 1471-1500
    • Markl, M.1
  • 28
    • 0003330993 scopus 로고
    • The geometry of iterated loop spaces
    • May, J. P.: 'The geometry of iterated loop spaces,' Lecture Notes in Math. 271 (1972).
    • (1972) Lecture Notes in Math. , vol.271
    • May, J.P.1
  • 29
    • 0000902966 scopus 로고
    • The number of trees
    • Otter, R.: The number of trees, Ann. Math. 49 (1948) 583-599.
    • (1948) Ann. Math. , vol.49 , pp. 583-599
    • Otter, R.1
  • 30
    • 0000045893 scopus 로고
    • The decorated Teichmüller space of a punctured surface
    • Penner, R. C.: The decorated Teichmüller space of a punctured surface, Comm. Math. Phys. 113 (1987) 299-339.
    • (1987) Comm. Math. Phys. , vol.113 , pp. 299-339
    • Penner, R.C.1
  • 31
    • 84972538864 scopus 로고
    • Perturbative series and the moduli space of Riemann surfaces
    • Penner, R. C.: Perturbative series and the moduli space of Riemann surfaces, J. Differential Geom. 27 (1988) 35-53.
    • (1988) J. Differential Geom. , vol.27 , pp. 35-53
    • Penner, R.C.1
  • 33
    • 84968509262 scopus 로고
    • Homotopy associativity of H-spaces I
    • Stasheff, J. D.: Homotopy associativity of H-spaces I, Trans. AMS 108 (1963) 275-292.
    • (1963) Trans. AMS , vol.108 , pp. 275-292
    • Stasheff, J.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.