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The conjecture that exotic tori admit no symplectic structures
Exotic tori carry no symplectic structures. There are no symplectic structures on exotic tori.
openexotic-smooth-structures symplectic-geometry
05
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
Infinite exotic structures conjecture for the manifolds $Y$ and $Z$
Let $Y_{2m}$ and $Z_{2m}$ denote the manifolds obtained from $Y$ and $Z$ , respectively, by generalized cork twists of exponent $2m$ . Infinite exotic structures conjecture. The fami…
open4-manifolds cork-twists exotic-smooth-structures
03

The conjecture that exotic tori admit no symplectic structures