Dynamics of twisted Alexander invariants
Tài liệu tham khảo
Brown, 1994, Cohomology of Groups, vol. 87
Cha, 2003, Fibred knots and twisted Alexander invariants, Trans. Amer. Math. Soc., 355, 4187, 10.1090/S0002-9947-03-03348-8
Crowell, 1964, The annihilator of a knot module, Proc. Amer. Math. Soc., 15, 696, 10.1090/S0002-9939-1964-0167976-X
Crowell, 1977
Davis, 2001, Lecture Notes in Algebraic Topology, vol. 35
Fox, 1953, Free differential calculus. I: Derivation in the free group ring, Ann. of Math., 57, 547, 10.2307/1969736
Friedl, 2006, Thurston norm, fibered manifolds and twisted Alexander polynomials, Topology, 45, 929, 10.1016/j.top.2006.06.003
Friedl
Friedl, 2007, Nontrivial Alexander polynomials of knots and links, Bull. London Math. Soc., 39, 614, 10.1112/blms/bdm048
Hillman, 2002
Hillman, 2006, Twisted Alexander polynomials of periodic knots, Algebr. Geom. Topol., 6, 145, 10.2140/agt.2006.6.145
Hirasawa
Hoste, 2001, Trace fields of twist knots, J. Knot Theory Ramifications, 10, 625, 10.1142/S0218216501001049
Kirk, 1999, Twisted Alexander invariants, Reidemeister torsion and Casson–Gordon invariants, Topology, 38, 635, 10.1016/S0040-9383(98)00039-1
Kovacs, 1999, Determinants of commuting-block matrices, Amer. Math. Monthly, 106, 950, 10.2307/2589750
Lang, 1965
Litherland, 1979, Deforming twist-spun knots, Trans. Amer. Math. Soc., 250, 311, 10.1090/S0002-9947-1979-0530058-4
Maclachlan, 2004
Morifuji, 2001, Twisted Alexander polynomial for the braid group, Bull. Austral. Math. Soc., 64, 1, 10.1017/S0004972700019626
Murasugi, 1996
Riley, 1972, Parabolic representations of knot groups, I, Proc. London Math. Soc., 24, 217, 10.1112/plms/s3-24.2.217
Riley, 1990, Growth of order of homology, Proc. London Math. Soc., 22, 287
Schmidt, 1995
Silver, 2002, Mahler measure, links and homology growth, Topology, 41, 979, 10.1016/S0040-9383(01)00014-3
Silver, 2002, Torsion numbers of augmented knots and links, Enseign. Math., 48, 317
Silver, 2006, Twisted Alexander polynomials detect the unknot, Algebr. Geom. Topol., 6, 1893, 10.2140/agt.2006.6.1893
Silver
Suzuki, 2004, Twisted Alexander polynomial for the Lawrence–Krammer representation, Bull. Austral. Math. Soc., 70, 67, 10.1017/S0004972700035826
Thurston, 1987, Geometry and Topology of 3-Manifolds
