Lefschetz fibrations over the disc
classification
🧮 math.GT
keywords
dimensionalfibrationslefschetzmovesrelatinganalogousapproachbooks
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We provide a complete set of moves relating any two Lefschetz fibrations over the disk having as their total space the same 4-dimensional 2-handlebody up to 2-equivalence. As a consequence, we also obtain moves relating diffeomorphic 3-dimensional open books, providing a different approach to an analogous previous result by Harer.
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