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The equivalent genus-function conjecture for the exotic four-manifolds $V_n$
Let $BK$ be the symplectic four-manifold constructed in the paper, and let $V_n$ be the sequence of exotic four-manifolds obtained from $BK$ , with $V_1=BK$ . For a smooth four-manif…
openexotic-smooth-structures four-manifolds minimal-genus
06
The equivalent genus-function conjecture for the exotic four-manifolds $Z_n$
Let $AP$ be the four-manifold constructed in the paper, and let $Z_n$ be the infinite family of exotic four-manifolds obtained by replacing the final Luttinger surgery with torus s…
openexotic-smooth-structures four-manifolds minimal-genus
07
The no essential sphere or torus conjecture for the four-manifold $AP$
Let $AP$ be the four-manifold constructed in the paper, and let $H_2(AP;\mathbb Z)$ denote its second homology group. An embedded surface in $AP$ is homologically essential if its…
openembedded-surfaces four-manifolds minimal-genus
06

The equivalent genus-function conjecture for the exotic four-manifolds VnV_nVn​