Splitting the Spectral Flow and the Su(3) Casson Invariant for Spliced Sums
نویسنده
چکیده
We show that the SU(3) Casson invariant for spliced sums along certain torus knots equals 16 times the product of their SU(2) Casson knot invariants. The key step is a splitting formula for su(n) spectral flow for closed 3-manifolds split along a torus.
منابع مشابه
The SU(3) Casson invariant of spliced sums
as a S1-valued Morse function on A/G, A being the space of SU(2) connections onM and G the group of gauge transformations. Taubes realized that the Hessian of the Chern-Simons invariant and the odd signature operator coupled to the same path of SU(2) connections have the same spectral flow. Using Taubes’s point of view, an SU(3) Casson invariant τ was introduced by [1] and later refined by [3],...
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تاریخ انتشار 2008