메뉴 건너뛰기




Volumn 124, Issue 1, 2002, Pages 129-138

The Jones representation of genus 2 at the 4th root of unity and the Torelli group

Author keywords

Johnson homomorphism; Jones representation; Mapping class group; Torelli group

Indexed keywords


EID: 0038013741     PISSN: 01668641     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0166-8641(01)00242-5     Document Type: Article
Times cited : (2)

References (11)
  • 1
    • 0002530794 scopus 로고
    • Mapping class groups of surfaces
    • Providence, RI: American Mathematical Society (Santa Cruz, CA, 1986)
    • Birman J. Mapping class groups of surfaces Braids (Santa Cruz, CA, 1986) Contemp. Math. 78 1988 13-43 American Mathematical Society Providence, RI
    • (1988) Braids , vol.78 , pp. 13-43
    • Birman, J.1
  • 2
    • 84968488172 scopus 로고
    • The μ-invariant of 3-manifolds and certain structural properties of the group of homeomorphisms of a closed oriented 2-manifold
    • Birman J. Craggs R. The μ-invariant of 3-manifolds and certain structural properties of the group of homeomorphisms of a closed oriented 2-manifold Trans. Amer. Math. Soc. 237 1978 283-309
    • (1978) Trans. Amer. Math. Soc. , vol.237 , pp. 283-309
    • Birman, J.1    Craggs, R.2
  • 3
    • 0001465940 scopus 로고
    • Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin's braid group
    • Birman J. Hilden H. Isotopies of homeomorphisms of Riemann surfaces and a theorem about Artin's braid group Ann. of Math. 97 1973 424-439
    • (1973) Ann. of Math. , vol.97 , pp. 424-439
    • Birman, J.1    Hilden, H.2
  • 4
    • 84968505324 scopus 로고
    • Quadratic forms and the Birman-Craggs homomorphisms
    • Johnson D. Quadratic forms and the Birman-Craggs homomorphisms Trans. Amer. Math. Soc. 261 1980 235-254
    • (1980) Trans. Amer. Math. Soc. , vol.261 , pp. 235-254
    • Johnson, D.1
  • 5
    • 0000480060 scopus 로고
    • A survey of the Torelli group
    • Johnson D. A survey of the Torelli group Contemp. Math. 20 1983 165-179
    • (1983) Contemp. Math. , vol.20 , pp. 165-179
    • Johnson, D.1
  • 6
    • 0001665177 scopus 로고
    • Hecke algebra representations of braid groups and link polynomials
    • Jones V. Hecke algebra representations of braid groups and link polynomials Ann. of Math. 126 1987 335-338
    • (1987) Ann. of Math. , vol.126 , pp. 335-338
    • Jones, V.1
  • 7
    • 38249023231 scopus 로고
    • Casson's invariant for homology 3-spheres and characteristic classes of surface bundles I
    • Morita S. Casson's invariant for homology 3-spheres and characteristic classes of surface bundles I Topology 28 1989 305-323
    • (1989) Topology , vol.28 , pp. 305-323
    • Morita, S.1
  • 8
    • 0000789993 scopus 로고
    • On the structure of the Torelli group and the Casson invariant
    • Morita S. On the structure of the Torelli group and the Casson invariant Topology 30 1991 603-621
    • (1991) Topology , vol.30 , pp. 603-621
    • Morita, S.1
  • 10
    • 84966228810 scopus 로고
    • Two theorems on the mapping class group of surfaces
    • Powell J. Two theorems on the mapping class group of surfaces Proc. Amer. Soc. Math. 68 1978 347-350
    • (1978) Proc. Amer. Soc. Math. , vol.68 , pp. 347-350
    • Powell, J.1
  • 11
    • 0038596077 scopus 로고
    • The Reshetikhin-Turaev representation of the mapping class group
    • Wright G. The Reshetikhin-Turaev representation of the mapping class group J. Knot Theory Ramifications 3 1994 547-574
    • (1994) J. Knot Theory Ramifications , vol.3 , pp. 547-574
    • Wright, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.