2 problems

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Homology 4-sphere conjecture for handle structures without 3-handles
Let $U$ be a homology $4$ -sphere admitting a handle structure containing no $3$ -handles. Weak generalized Property R equivalence conjecture. The weak generalized Property R conject…
Conjectureopen4-manifolds handlebody-theory schoenflies-conjecturearXiv posted 2 days ago
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Stein Schoenflies conjecture for embedded homotopy 4-balls
Let $X$ be a compact Stein domain of complex dimension $2$ , and let $B\subset X$ be an embedded homotopy $4$ -ball bounded by a smoothly embedded $S^3$ . Stein Schoenflies conjecture…
Conjectureopen4-manifolds schoenflies-conjecture stein-surfacesarXiv posted 2 days ago

Homology 4-sphere conjecture for handle structures without 3-handles