Matching Tag: sutured-monopole-floer-homology
Trivial-torsion conjecture. The torsion group G t o r G_{\mathrm{tor}} G tor in Lemma 4 is trivial:
Connected excision conjecture. Theorem 1 continues to hold when the disjoint union ( M 1 ⊔ M 2 , γ 1 \cupgamma 2 ) (M_1\sqcup M_2,\gamma_1\cupgamma_2) ( M 1 ⊔ M 2 , γ 1 \cupgamma 2 ) is replaced by the connected balanced sutured manifold…
Let ( M , γ ) (M,\gamma) ( M , γ ) be a balanced sutured manifold, and let W = ( W = M × [ 0 , 1 ] , Z = ∂ M × [ 0 , 1 ] , [ ξ ] ) \mathcal{W}=(W=M\times[0,1],Z=\partial M\times[0,1],[\xi]) W = ( W = M × [ 0 , 1 ] , Z = ∂ M × [ 0 , 1 ] , [ ξ ]) be the trace sutured cobordism from…
Let ( M , Γ , ξ ) (M,\Gamma,\xi) ( M , Γ , ξ ) be a sutured contact manifold, and let ψ ( M , Γ , ξ ) ∈ S H M ‾ ( − M , − Γ ) \psi(M,\Gamma,\xi)\in\underline{SHM}(-M,-\Gamma) ψ ( M , Γ , ξ ) ∈ S H M ( − M , − Γ ) and E H ( M , Γ , ξ ) ∈ S F H ( − M , − Γ ) EH(M,\Gamma,\xi)\in SFH(-M,-\Gamma) E H ( M , Γ , ξ ) ∈ S F H ( − M , − Γ ) denote the monopole Floer a…
Let ( M , Γ , ξ M ) (M,\Gamma,\xi_M) ( M , Γ , ξ M ) be a sutured contact manifold contained in ( M ′ , Γ ′ ) (M',\Gamma') ( M ′ , Γ ′ ) , and let ξ \xi ξ be a contact structure on M ′ ∖ int ( M ) M'\smallsetminus \operatorname{int}(M) M ′ ∖ int ( M ) with dividing set…