메뉴 건너뛰기




Volumn 29, Issue 1-2, 1999, Pages 87-150

Smooth coalgebras

Author keywords

Dual coalgebras; Graded hopf algebras; Graded manifolds; Infinte dimensional manifolds

Indexed keywords


EID: 0032623190     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(98)00033-3     Document Type: Article
Times cited : (1)

References (45)
  • 1
    • 0000254906 scopus 로고
    • A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings
    • A.M. Baranov, Yu.I. Manin, I.V. Frolov, A.S. Schwarz, A superanalog of the Selberg trace formula and multiloop contributions for fermionic strings, Commun. Math. Phys. 111 (1987) 373-392.
    • (1987) Commun. Math. Phys. , vol.111 , pp. 373-392
    • Baranov, A.M.1    Manin, Yu.I.2    Frolov, I.V.3    Schwarz, A.S.4
  • 2
    • 38249036490 scopus 로고
    • Some remarks on the differential-geometric approach to supermanifolds
    • C. Bartocci, U. Bruzzo, Some remarks on the differential-geometric approach to supermanifolds, J. Geom. Phys. 4 (1987) 391-404.
    • (1987) J. Geom. Phys. , vol.4 , pp. 391-404
    • Bartocci, C.1    Bruzzo, U.2
  • 5
    • 0003177735 scopus 로고
    • In search of the graded manifold of maps between graded manifolds
    • Complex Differential Geometry and Supermanifolds in Strings and Fields, Springer, Berlin
    • B. Batchelor, In search of the graded manifold of maps between graded manifolds, in: Complex Differential Geometry and Supermanifolds in Strings and Fields, Lecture Notes in Physics, vol. 311, Springer, Berlin, 1988, pp. 62-113.
    • (1988) Lecture Notes in Physics , vol.311 , pp. 62-113
    • Batchelor, B.1
  • 10
    • 0000426371 scopus 로고
    • Graded manifold theory as the geometry of superspace
    • J. Dell, L. Smolin, Graded manifold theory as the geometry of superspace, Commun. Math. Phys. 66 (1979) 335.
    • (1979) Commun. Math. Phys. , vol.66 , pp. 335
    • Dell, J.1    Smolin, L.2
  • 11
    • 0004171988 scopus 로고
    • Cambridge University Press, London
    • B.S. De Witt, Supermanifolds, Cambridge University Press, London, 1984.
    • (1984) Supermanifolds
    • De Witt, B.S.1
  • 12
    • 0001381887 scopus 로고
    • Supersymmetries - Mathematics of supergeometry
    • K. Gawedzki, Supersymmetries - Mathematics of supergeometry, Ann. Inst. H. Poincaré Sect. A (N.S.) 27 (1977) 335-366.
    • (1977) Ann. Inst. H. Poincaré Sect. A (N.S.) , vol.27 , pp. 335-366
    • Gawedzki, K.1
  • 13
  • 14
    • 0039536065 scopus 로고
    • The geometry of super Riemann surfaces
    • S.B. Giddings, P. Nelson, The geometry of super Riemann surfaces, Commun. Math. Phys. 116 (1988) 607-634.
    • (1988) Commun. Math. Phys. , vol.116 , pp. 607-634
    • Giddings, S.B.1    Nelson, P.2
  • 15
    • 84966208724 scopus 로고
    • On holomorphic graded manifolds
    • P. Green, On holomorphic graded manifolds, Proc. Amer. Math. Soc. 85 (1982) 587-590.
    • (1982) Proc. Amer. Math. Soc. , vol.85 , pp. 587-590
    • Green, P.1
  • 16
    • 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
  • 17
    • 0001499372 scopus 로고
    • Global variational calculus on graded manifolds II
    • D. Hernández Ruipérez, J. Muñoz Masqué, Global variational calculus on graded manifolds I, J. Math. Pure Appl. 63 (1984) 283-309; Global variational calculus on graded manifolds II, J. Math. Pure Appl. 64 (1985) 87-104.
    • (1984) J. Math. Pure Appl. , vol.63 , pp. 283-309
    • Hernández Ruipérez, D.1    Muñoz Masqué, J.2
  • 18
    • 0003268909 scopus 로고
    • Global variational calculus on graded manifolds II
    • D. Hernández Ruipérez, J. Muñoz Masqué, Global variational calculus on graded manifolds I, J. Math. Pure Appl. 63 (1984) 283-309; Global variational calculus on graded manifolds II, J. Math. Pure Appl. 64 (1985) 87-104.
    • (1985) J. Math. Pure Appl. , vol.64 , pp. 87-104
  • 19
    • 0000514107 scopus 로고
    • Superspaces and supersymmetries
    • A. Jadczyk, K. Pilch, Superspaces and supersymmetries, Commun. Math. Phys. 78 (1981) 373-390.
    • (1981) Commun. Math. Phys. , vol.78 , pp. 373-390
    • Jadczyk, A.1    Pilch, K.2
  • 20
    • 0000834553 scopus 로고
    • Graded manifolds, graded Lie theory and prequantization
    • Differential Geometric methods in Mathematical Physics, Springer, Berlin
    • B. Kostant, Graded manifolds, graded lie theory and prequantization, in: Differential Geometric methods in Mathematical Physics, Lecture Notes in Mathematics, vol. 570, Springer, Berlin, 1977, pp. 177-306.
    • (1977) Lecture Notes in Mathematics , vol.570 , pp. 177-306
    • Kostant, B.1
  • 22
    • 0001004999 scopus 로고
    • Moduli of super Riemann surfaces
    • C. LeBrun, M. Rothstein, Moduli of super Riemann surfaces, Commun. Math. Phys. 117 (1988) 159-176.
    • (1988) Commun. Math. Phys. , vol.117 , pp. 159-176
    • LeBrun, C.1    Rothstein, M.2
  • 23
    • 84951367352 scopus 로고
    • Introduction to the theory of supermanifolds
    • D. Leites, Introduction to the theory of supermanifolds, Russ. Math. Surv. 35 (1) (1980) 1-64.
    • (1980) Russ. Math. Surv. , vol.35 , Issue.1 , pp. 1-64
    • Leites, D.1
  • 24
    • 0009148022 scopus 로고
    • Supersymmetric path integral
    • J. Lott, Supersymmetric path integral, Commun. Math. Phys. 108 (1990) 605-629.
    • (1990) Commun. Math. Phys. , vol.108 , pp. 605-629
    • Lott, J.1
  • 25
    • 0001586391 scopus 로고
    • Torsion constraints in supergeometry
    • J. Lott, Torsion constraints in supergeometry, Commun. Math. Phys. 133 (1990) 563-615.
    • (1990) Commun. Math. Phys. , vol.133 , pp. 563-615
    • Lott, J.1
  • 27
    • 0003439297 scopus 로고
    • ICTP Preprint IC/84/183
    • 2-supermanifolds, ICTP Preprint IC/84/183 (1984); Banach supermanifolds, in: H.D. Doebner, T.D. Palev (Eds.), Differential Geometric Methods in Theoretical Physics, Proceedings of The 13th International Conference on Differential Geometric Methods in Theoretical Physics, Shumen, Bulgaria, 20-24 August, 1984, World Scientific, Singapore, 1986, pp. 117-125; Sheaves of authomorphisms and invariants of banach supermanifolds, in: Mathematics and Education in Mathematics, Proceedings of The 15th Spring Conference of The Union of Bulgarian Mathematicians, Sunny Beach, 2-6 April 1986, Sofia, BAN, 1986, pp. 271-283.
    • (1984) 2-supermanifolds
    • Molotkov, V.1
  • 28
    • 0009219835 scopus 로고
    • Banach supermanifolds
    • Proceedings of the 13th International Conference on Differential Geometric Methods in Theoretical Physics, Shumen, Bulgaria, 20-24 August, World Scientific, Singapore
    • 2-supermanifolds, ICTP Preprint IC/84/183 (1984); Banach supermanifolds, In: H.D. Doebner, T.D. Palev (Eds.), Differential Geometric Methods in Theoretical Physics, Proceedings of The 13th International Conference on Differential Geometric Methods in Theoretical Physics, Shumen, Bulgaria, 20-24 August, 1984, World Scientific, Singapore, 1986, pp. 117-125; Sheaves of authomorphisms and invariants of banach supermanifolds, in: Mathematics and Education in Mathematics, Proceedings of The 15th Spring Conference of The Union of Bulgarian Mathematicians, Sunny Beach, 2-6 April 1986, Sofia, BAN, 1986, pp. 271-283.
    • (1984) Differential Geometric Methods in Theoretical Physics , pp. 117-125
    • Doebner, H.D.1    Palev, T.D.2
  • 29
    • 0009303114 scopus 로고
    • Sheaves of authomorphisms and invariants of banach supermanifolds
    • Proceedings of the 15th Spring Conference of the Union of Bulgarian Mathematicians, Sunny Beach, 2-6 April 1986, Sofia, BAN
    • 2-supermanifolds, ICTP Preprint IC/84/183 (1984); Banach supermanifolds, in: H.D. Doebner, T.D. Palev (Eds.), Differential Geometric Methods in Theoretical Physics, Proceedings of The 13th International Conference on Differential Geometric Methods in Theoretical Physics, Shumen, Bulgaria, 20-24 August, 1984, World Scientific, Singapore, 1986,pp. 117-125; Sheaves of authomorphisms and invariants of banach supermanifolds, in: Mathematics and Education in Mathematics, Proceedings of The 15th Spring Conference of The Union of Bulgarian Mathematicians, Sunny Beach, 2-6 April 1986, Sofia, BAN, 1986, pp. 271-283.
    • (1986) Mathematics and Education in Mathematics , pp. 271-283
  • 30
    • 0009149685 scopus 로고
    • Introduction to supermanifolds
    • P. Nelson Introduction to supermanifolds, Int. J. Mod. Phys. A 3 (1988) 587-590.
    • (1988) Int. J. Mod. Phys. A , vol.3 , pp. 587-590
    • Nelson, P.1
  • 32
    • 0000813736 scopus 로고
    • D-Modules on supermanifolds
    • I.B. Penkov, D-Modules on supermanifolds, Invent. Math. 71 (1983) 501-512.
    • (1983) Invent. Math. , vol.71 , pp. 501-512
    • Penkov, I.B.1
  • 33
    • 0000069899 scopus 로고
    • Global properties of supermanifolds
    • J.M. Rabin, L. Crane, Global properties of supermanifolds, Commun. Math. Phys. 100 (1985) 141-160.
    • (1985) Commun. Math. Phys. , vol.100 , pp. 141-160
    • Rabin, J.M.1    Crane, L.2
  • 34
    • 36749111350 scopus 로고
    • A global theory of supermanifolds
    • A. Rogers, A global theory of supermanifolds, J. Math. Phys. 21 (1980) 1352-1365.
    • (1980) J. Math. Phys. , vol.21 , pp. 1352-1365
    • Rogers, A.1
  • 35
    • 84968496721 scopus 로고
    • Deformations of complex supermanifolds
    • M. Rothstein, Deformations of complex supermanifolds, Proc. Amer. Math. Soc. 95 (1985) 255-260.
    • (1985) Proc. Amer. Math. Soc. , vol.95 , pp. 255-260
    • Rothstein, M.1
  • 36
    • 84967787244 scopus 로고
    • The axioms of supermanifolds and a new structure arising from them
    • M. Rothstein, The axioms of supermanifolds and a new structure arising from them, Trans. Amer. Math. Soc. 297 (1986) 159-180.
    • (1986) Trans. Amer. Math. Soc. , vol.297 , pp. 159-180
    • Rothstein, M.1
  • 37
    • 0000023384 scopus 로고
    • The structure of supersymplectic supermanifolds
    • C. Bartocci, U. Bruzzo, R. Cianci (Eds.), Differential Geometric Methods in Mathematical Physics, Springer, Berlin
    • M. Rothstein, The structure of supersymplectic supermanifolds, in: C. Bartocci, U. Bruzzo, R. Cianci (Eds.), Differential Geometric Methods in Mathematical Physics, Lecture Notes in Physics, vol. 375, Springer, Berlin, 1991, pp. 331-343.
    • (1991) Lecture Notes in Physics , vol.375 , pp. 331-343
    • Rothstein, M.1
  • 42
    • 0003062742 scopus 로고
    • Supergravity, complex geometry and G-structures
    • A.A. Schwarz, Supergravity, complex geometry and G-structures, Commun. Math. Phys. 87 (1982) 37-63; To the definition of superspace, Theor. Math. Phys. 60 (1984) 655-659.
    • (1982) Commun. Math. Phys. , vol.87 , pp. 37-63
    • Schwarz, A.A.1
  • 43
    • 85202249392 scopus 로고
    • To the definition of superspace
    • A.A. Schwarz, Supergravity, complex geometry and G-structures, Commun. Math. Phys. 87 (1982)37-63; To the definition of superspace, Theor. Math. Phys. 60 (1984) 655-659.
    • (1984) Theor. Math. Phys. , vol.60 , pp. 655-659
  • 45
    • 0001528879 scopus 로고
    • Mapping of supermanifolds
    • A.A. Voronov, Mapping of supermanifolds, Theor. Math. Phys. 60 (1984) 660-664.
    • (1984) Theor. Math. Phys. , vol.60 , pp. 660-664
    • Voronov, A.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.