For a ring R, we denote by R[L] the free R-module spanned by the isotopy classes of singular links in S~3. Given two invertible elements x, t R, the HOMFLY-PT skein module of singular links in S~3 (relative to the triple (R, t, x)) is the quotient of R[L] by local relations, called skein relations, that involve t and x. We compute the HOMFLY-PT skein module of singular links for any R such that (t~(-1)-t + x) and (t~(-1)-t-x) are invertible. In particular, we deduce the Conway skein module of singular links.
展开▼
