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   Abstract We define and study thecontact cut graphwhich is an analogue of Hatcher and Thurston's cut graph for contact geometry, inspired by contact Heegaard splittings (Giroux,Proceedings of the International Congress of Mathematicians, Beijing, 2002; Torisu,Internat. Math. Res. Notices(2000), 441–454). We show how oriented paths in the contact cut graph correspond to Lefschetz fibrations and multisection with divides diagrams. We also give a correspondence for achiral Lefschetz fibrations. We use these correspondences to define a new invariant of Weinstein domains, theWeinstein‐invariant, that is a symplectic analogue of the Kirby–Thompson's ‐invariant of smooth 4‐manifolds. We discuss the relation of Lefschetz stabilization with the Weinstein ‐invariant. We present topological and geometric constraints of Weinstein domains with . We also give two families of examples of multisections with divides that have arbitrarily large ‐invariant. 

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5. Michael L. Shuler Tribute

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   Bonassar, L; DeLisa, M.P.; Putnam, D.A. (July 2018, Biotechnology and Bioengineering)

   Mike Shuler's career has touched the professional and personal lives of countless individuals. From the undergraduates who learned the fundamentals of bioprocess engineering and nanobiotechnology, to the graduate students who helped push knowledge boundaries across length scales, to the young faculty who learned the meaning of academia, Mike Shuler's patient and thoughtful mentorship built careers and inspired greatness. We are proud and humbled to collect the following personal reflections from a cross section of his Cornell colleagues and friends. So many individuals have been influenced by Mike Shuler's distinguished mentorship, and we hope that these personal and professional reflections adequately reflect our collective feelings toward him. A full categorization of Mike's Midas touch could fill volumes. We have tried, through the following pages, to capture and personify a career that is beyond measure, and that has contributed so much to his academic community and to society. 

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