메뉴 건너뛰기




Volumn 141, Issue 2, 1999, Pages 207-281

Bridged links and tangle presentations of cobordism categories

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0033540518     PISSN: 00018708     EISSN: None     Source Type: Journal    
DOI: 10.1006/aima.1998.1772     Document Type: Article
Times cited : (15)

References (30)
  • 1
    • 45149136824 scopus 로고
    • On framings of 3-manifolds
    • M. Atiyah, On framings of 3-manifolds, Topology 29 (1990), 1-7.
    • (1990) Topology , vol.29 , pp. 1-7
    • Atiyah, M.1
  • 3
    • 51249187294 scopus 로고
    • La stratification naturelle des espace de fonctions différentiables réeles et la théorème de la pseudoisotopie
    • J. Cerf, La stratification naturelle des espace de fonctions différentiables réeles et la théorème de la pseudoisotopie, Publ. Math. I.H.E.S. 39 (1970).
    • (1970) Publ. Math. I.H.E.S. , vol.39
    • Cerf, J.1
  • 4
    • 33747489765 scopus 로고
    • On Kirby's calculus of links
    • R. Fenn and C. Rourke, On Kirby's calculus of links, Topology 18 (1979), 1-15.
    • (1979) Topology , vol.18 , pp. 1-15
    • Fenn, R.1    Rourke, C.2
  • 5
    • 0003234294 scopus 로고
    • Pseudo-isotopies of compact manifolds
    • A. Hatcher and J. Wagoner, Pseudo-isotopies of compact manifolds, Astérisque 6 (1973).
    • (1973) Astérisque , vol.6
    • Hatcher, A.1    Wagoner, J.2
  • 6
    • 0004334821 scopus 로고
    • Cambridge, preprint
    • M. A. Hennings, "Invariants of Links and 3-manifolds Obtained from Hopf Algebras," Cambridge, preprint, 1990; L. Kauffman and D. Radford, Invariants of 3-manifolds Derived from Finite Dimensional Hopf Algebras, Chicago, preprint, 1994; V. Lyubashenko, Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity, Comm. Math. Phys. 172 (1995), 467-516.
    • (1990) Invariants of Links and 3-manifolds Obtained from Hopf Algebras
    • Hennings, M.A.1
  • 7
    • 0004332399 scopus 로고
    • Chicago, preprint
    • M. A. Hennings, "Invariants of Links and 3-manifolds Obtained from Hopf Algebras," Cambridge, preprint, 1990; L. Kauffman and D. Radford, Invariants of 3-manifolds Derived from Finite Dimensional Hopf Algebras, Chicago, preprint, 1994; V. Lyubashenko, Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity, Comm. Math. Phys. 172 (1995), 467-516.
    • (1994) Invariants of 3-manifolds Derived from Finite Dimensional Hopf Algebras
    • Kauffman, L.1    Radford, D.2
  • 8
    • 21844485595 scopus 로고
    • Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity
    • M. A. Hennings, "Invariants of Links and 3-manifolds Obtained from Hopf Algebras," Cambridge, preprint, 1990; L. Kauffman and D. Radford, Invariants of 3-manifolds Derived from Finite Dimensional Hopf Algebras, Chicago, preprint, 1994; V. Lyubashenko, Invariants of 3-manifolds and projective representations of mapping class groups via quantum groups at roots of unity, Comm. Math. Phys. 172 (1995), 467-516.
    • (1995) Comm. Math. Phys. , vol.172 , pp. 467-516
    • Lyubashenko, V.1
  • 9
    • 0009049071 scopus 로고
    • The space of framed functions
    • K. Igusa, The space of framed functions, Trans. Amer. Math. Soc. 301-2 (1987), 431-477.
    • (1987) Trans. Amer. Math. Soc. , vol.301 , Issue.2 , pp. 431-477
    • Igusa, K.1
  • 10
    • 0009029652 scopus 로고
    • Charackterisierung der signatur von mannigfaltigkeiten durch eine additivitätseigenschaft
    • K. Jänich, Charackterisierung der signatur von mannigfaltigkeiten durch eine additivitätseigenschaft, Invent. Math. 6 (1968), 35-40.
    • (1968) Invent. Math. , vol.6 , pp. 35-40
    • Jänich, K.1
  • 11
    • 0039131275 scopus 로고
    • Mapping class group actions on quantum doubles
    • T. Kerler, Mapping class group actions on quantum doubles, Comm. Math. Phys. 168 (1995), 353-388.
    • (1995) Comm. Math. Phys. , vol.168 , pp. 353-388
    • Kerler, T.1
  • 12
    • 0009036317 scopus 로고
    • presented at the UNC, April Paper in preparation
    • T. Kerler, A Topological Hopf Algebra, presented at the UNC, April 1994. [Paper in preparation]
    • (1994) A Topological Hopf Algebra
    • Kerler, T.1
  • 13
    • 0009034144 scopus 로고    scopus 로고
    • Equivalence of a bridged link calculus and Kirby's calculus of links on non-simply connected 3-manifolds
    • T. Kerler, Equivalence of a bridged link calculus and Kirby's calculus of links on non-simply connected 3-manifolds, Topology Appl. 87 (1998), 155-162.
    • (1998) Topology Appl. , vol.87 , pp. 155-162
    • Kerler, T.1
  • 16
    • 0001287660 scopus 로고
    • A representation of orientable 3-manifolds
    • W. B. R. Lickorish, A representation of orientable 3-manifolds, Ann. of Math. 76 (1962), 531-540.
    • (1962) Ann. of Math. , vol.76 , pp. 531-540
    • Lickorish, W.B.R.1
  • 18
    • 21344492904 scopus 로고
    • A geometrical presentation of the surface mapping class group and surgery
    • S. Matveev and M. Polyak, A geometrical presentation of the surface mapping class group and surgery, Comm. Math. Phys. 160 (1994), 537.
    • (1994) Comm. Math. Phys. , vol.160 , pp. 537
    • Matveev, S.1    Polyak, M.2
  • 20
    • 0009077808 scopus 로고
    • A three dimensional manifold is the boundary of a four dimensional one
    • V. A. Rohlin, A three dimensional manifold is the boundary of a four dimensional one, Dokl. Akad. Nauk. SSSR (N.S.) 114 (1951), 355-357.
    • (1951) Dokl. Akad. Nauk. SSSR (N.S.) , vol.114 , pp. 355-357
    • Rohlin, V.A.1
  • 22
    • 34249960869 scopus 로고
    • Ribbon graphs and their invariants derived from quantum groups
    • N. Reshetikhin and V. Turaev, Ribbon graphs and their invariants derived from quantum groups, Comm. Math. Phys. 127 (1990), 1-26.
    • (1990) Comm. Math. Phys. , vol.127 , pp. 1-26
    • Reshetikhin, N.1    Turaev, V.2
  • 23
    • 0542373499 scopus 로고
    • Invariants of 3-manifolds via link polynomials and quantum groups
    • N. Reshetikhin and V. Turaev, Invariants of 3-manifolds via link polynomials and quantum groups, Invent. Math. 103 (1991), 547-598.
    • (1991) Invent. Math. , vol.103 , pp. 547-598
    • Reshetikhin, N.1    Turaev, V.2
  • 26
    • 51249180344 scopus 로고
    • A simple presentation for the mapping class group of an orientable surface
    • B. Wajnryb, A simple presentation for the mapping class group of an orientable surface, Israel J. Math. 45 (1982), 157-174.
    • (1982) Israel J. Math. , vol.45 , pp. 157-174
    • Wajnryb, B.1
  • 27
    • 0000384278 scopus 로고
    • Non-additivity of the signature
    • C. T. C. Wall, Non-additivity of the signature, Invent. Math. 7 (1969), 269-274.
    • (1969) Invent. Math. , vol.7 , pp. 269-274
    • Wall, C.T.C.1
  • 28
    • 0000033418 scopus 로고
    • Determination of the cobordism ring
    • C. T. C. Wall, Determination of the cobordism ring, Ann. of Math. 72 (1960), 292-311.
    • (1960) Ann. of Math. , vol.72 , pp. 292-311
    • Wall, C.T.C.1
  • 29
    • 0000837783 scopus 로고
    • Modifications and cobounding manifolds
    • A. H. Wallace, Modifications and cobounding manifolds, Cam. J. Math. 12 (1960), 503-528.
    • (1960) Cam. J. Math. , vol.12 , pp. 503-528
    • Wallace, A.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.