The State Sum Invariant of 3-manifolds Constructed from the E6 Linear Skein
نویسندگان
چکیده
The E6 state sum invariant is a topological invariant of closed 3manifolds constructed by using the 6j-symbols of the E6 subfactor. In this paper, we introduce the E6 linear skein as a certain vector space motivated by E6 subfactor planar algebra, and develop its linear skein theory by showing many relations in it. By using this linear skein, we give an elementary self-contained construction of the E6 state sum invariant.
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