Research directions in symplectic and contact geometry and topology
著者
書誌事項
Research directions in symplectic and contact geometry and topology
（Association for Women in Mathematics series, 27）
Springer, c2021
- :hbk.
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注記
Other editor: Catherine Cannizzo, Dusa Mcduff, Ziva Myer, Yu Pan, Lisa Traynor
Includes bibliographical references
内容説明・目次
内容説明
This book highlights a number of recent research advances in the field of symplectic and contact geometry and topology, and related areas in low-dimensional topology. This field has experienced significant and exciting growth in the past few decades, and this volume provides an accessible introduction into many active research problems in this area. The papers were written with a broad audience in mind so as to reach a wide range of mathematicians at various levels. Aside from teaching readers about developing research areas, this book will inspire researchers to ask further questions to continue to advance the field.
The volume contains both original results and survey articles, presenting the results of collaborative research on a wide range of topics. These projects began at the Research Collaboration Conference for Women in Symplectic and Contact Geometry and Topology (WiSCon) in July 2019 at ICERM, Brown University. Each group of authors included female and nonbinary mathematicians at different career levels in mathematics and with varying areas of expertise. This paved the way for new connections between mathematicians at all career levels, spanning multiple continents, and resulted in the new collaborations and directions that are featured in this work.
目次
A Polyfold proof of Gromov's non-squeezing theorem (K. Wehrheim).- Infinite staircases for Hirzebruch surfaces (T. Holm).- Action-angle and complex coordinates on toric manifolds (H. Lee).- An introduction to Weinstein handlebodies for complements of smoothed Toroc divisors (B. Acu).- Constructions of Lagrangian Cobordisms (L. Traynor).- On Khovanov homology and related invariants (M. Zhang).- Braids, Fibered Knots, and Concordance Questions (D. Hubbard).
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