A1 contractibility of affine modifications
classification
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math.AT
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affinea1-contractiblefoldssmoothfamilyalgebraicallybrieskorn-phambundles
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We introduce Koras-Russell fiber bundles over algebraically closed fields of characteristic zero. After a single suspension, this exhibits an infinite family of smooth affine A1-contractible 3-folds. Moreover, we give examples of stably A1-contractible smooth affine 4-folds containing a Brieskorn-Pham surface, and a family of smooth affine 3-folds with a higher dimensional A1-contractible total space.
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