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Marked Smooth Movies
Preprint
17 July 2014
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Abstract
We present a marked analogue of Carter and Saito's smooth movie theorem. To accomplish this we define markings for a surface embedded in 4-space. Our definition of marking was chosen to coincide with the markings that arise in link Floer homology. In order to deal with complications arising from certain isotopies, we define three equivalences for marked surfaces and work over an equivalence class of marked surfaces when proving our marked smooth movie theorem.