A Connected Sum Formula for the Su(3) Casson Invariant
نویسنده
چکیده
We provide a formula for the SU(3) Casson invariant for 3-manifolds given as the connected sum of two integral homology 3-spheres.
منابع مشابه
A Connected Sum Formula for the Su ( 3 ) Casson Invariant 3
We provide a formula for the SU(3) Casson invariant for 3-manifolds given as the connected sum of two integral homology 3-spheres.
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We provide a formula for the SU(3) Casson invariant for 3-manifolds given as the connected sum of two integral homology 3-spheres.
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We provide a formula for the SU(3) Casson invariant for 3-manifolds given as the connected sum of two integral homology 3-spheres.
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We describe the deenition of the SU(3) Casson invariant and outline an argument which determines the contribution of certain types of components of the at moduli space. Two applications of these methods are detailed. The rst is a connect sum formula for the SU(3) Casson invariant 3]. The second presents a strategy for computing the SU(3) Casson invariant for certain graph manifolds.
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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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