Matching Tag: monopole-floer-homology
Let ( Y , τ , p ) (Y,\tau,\mathbf{p}) ( Y , τ , p ) HMR ~ ∗ ( Y , τ , p ) \widetilde{\operatorname{HMR}}_*(Y,\tau,\mathbf{p}) HMR ∗ ( Y , τ , p )
Let ( L + , L − , L 0 ) (L_+,L_-,L_0) ( L + , L − , L 0 ) p \mathbf{p} p HMR ~ ∗ ( L , p ) \widetilde{\operatorname{HMR}}_*(L,\mathbf{p}) HMR ∗ ( L , p )
Let ( Y , ι ) (Y,\iota) ( Y , ι ) s p i n c \mathrm{spin^c} spi n c s \mathfrak{s} s H M R ~ \widetilde{\mathit{HMR}} HMR H M R ˇ \widecheck{\mathit{HMR}} HMR
Let K K K HMR ~ ∙ ( K ) \widetilde{\operatorname{HMR}}_{\bullet}(K) HMR ∙ ( K ) SWF R ( K ) \operatorname{SWF}_R(K) SWF R ( K )
Trivial-torsion conjecture. The torsion group G t o r G_{\mathrm{tor}} G tor
Weak symplectic cobordism conjecture. The map
Let L ⊂ S 3 L\subset S^3 L ⊂ S 3 Σ ( L ) \Sigma(L) Σ ( L ) L ˉ \bar{L} L ˉ L L L B N ~ ∗ , ∗ 3 ( L ˉ ) \widetilde{\mathrm{BN}}^3_{*,*}(\bar{L}) BN ∗ , ∗ 3 ( L ˉ )
Derived-groups conjecture. The groups A ′ A' A ′ A ” A” A ” B ′ B' B ′ B ” B” B ”
Let K 0 \mathcal{K}_0 K 0 K 1 \mathcal{K}_1 K 1 ( Y , ξ ) (Y,\xi) ( Y , ξ ) K 0 ≺ Σ K 1 \mathcal{K}_0\prec_{\Sigma}\mathcal{K}_1 K 0 ≺ Σ K 1
Let K ⊂ Y \mathcal{K}\subset Y K ⊂ Y S + ( K ) S_{+}(\mathcal{K}) S + ( K ) S − ( K ) S_{-}(\mathcal{K}) S − ( K )
Let K ⊂ ( Y , ξ ) \mathcal{K}\subset(Y,\xi) K ⊂ ( Y , ξ ) ℓ g ( K ) ∈ K H M ( − Y , K ) ⊗ R \ell_g(\mathcal{K})\in KHM(-Y,K)\otimes\mathcal{R} ℓ g ( K ) ∈ K H M ( − Y , K ) ⊗ R g g g
Let S n = T ( 3 , 6 n + 1 ) \mathcal{S}^n=T(3,6n+1) S n = T ( 3 , 6 n + 1 ) T n = T ( 3 , 6 n − 1 ) \mathcal{T}^n=T(3,6n-1) T n = T ( 3 , 6 n − 1 ) n g r e a t e r t h a n o r e q u a l t o 1 n greater than or equal to 1 n g r e a t er t han or e q u a l t o 1 f n ( t , q ) = ∑ k = 0 n − 1 t 8 q 12 f_n(t,q)=\sum_{k=0}^{n-1}t^8q^{12} f n ( t , q ) = ∑ k = 0 n − 1 t 8 q 12
Let T ( 3 , 6 n + 1 ) T(3,6n+1) T ( 3 , 6 n + 1 ) T ( 3 , 6 n − 1 ) T(3,6n-1) T ( 3 , 6 n − 1 ) E k E^k E k
