Stein Schoenflies conjecture for embedded homotopy 4-balls

Let XX be a compact Stein domain of complex dimension 22, and let BXB\subset X be an embedded homotopy 44-ball bounded by a smoothly embedded S3S^3. Stein Schoenflies conjecture. Then BB is a standard 44-ball. This extends the smooth four-dimensional Schoenflies conjecture to homotopy 4-balls embedded in compact Stein surfaces and is motivated by the construction of Stein trisections and holomorphic-disk reimbeddings. Its status is not resolved in the source.

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Primary source

Peter Lambert-Cole, “Stein trisections and homotopy 4-balls”, arXiv:2104.02003 (2021).

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