Proceedings of the Gökova Geometry-Topology Conference 2017 Editors Selman Akbulut Department of Mathematics, Michigan State University East Lansing, MI 48824, USA Denis Auroux Department of Mathematics, University of California Berkeley, CA 94720, USA Turgut Önder Department of Mathematics, Middle East Technical University 06800 Ankara, Turkey Gökova Geometry-Topology Conferences
Proceedings of the Gökova Geometry-Topology Conference 2017 editors: Selman Akbulut, Michigan State University Denis Auroux, University of California at Berkeley Turgut Önder, Middle East Technical University, Ankara, Turkey Copyright 2017, 2018 by Gökova Geometry-Topology Conferences Published in 2018 by International Press, Somerville, Massachusetts, U.S.A. under license from Gökova Geometry-Topology Conferences. All rights reserved. Individual readers of this publication, and non-profit libraries acting for them, are permitted to make fair use of the material, such as to copy a chapter for use in teaching or research. Permission is granted to quote brief passages from this publication in reviews, provided the customary acknowledgement of the source is given. Republication, systematic copying, or mass reproduction of any material in this publication is permitted only under license from Gökova Geometry-Topology Conferences. ISBN 978-1-57146-360-9 Printed in the United States of America. 22 21 20 19 18 1 2 3 4 5 6 7 8 9
24th GO KOVA GEOMETRY-TOPOLOGY CONFERENCE May 29 June 2, 2017 Participants of the 24th Go kova Geometry-Topology Conference
PREFACE This volume contains many interesting talks on symplectic topology, contact splittings, holomorphic curves and 3-manifold topology. We thank Tobias Ekholm for his inspiring mini-course on Lagrangian topology. We also thank all the participants making this conference a stimulating event. We thank NSF (National Science Foundation), TMD (Turkish Mathematical Society), and ERC (European Research Council) for funding this conference (special thanks to Alexandru Oancea for helping to secure ERC support). Thanks are also due International Press for printing and distributing these proceedings. As always, we are grateful to Hotel Yücelen for supporting and hosting this conference on the scenic shores of the Gökova Bay. Finally we thank Selahi Durusoy and Üstün Yıldırım for formatting these proceedings. March 2018 The Editors
CONTENTS Lagrangian fillings and complicated Legendrian unknots...1 S. COURTE and T. EKHOLM Moduli of Lagrangian immersions with formal deformations...9 H. HONG and S.-C. LAU Intersections of ω classes in M g,n...37 V. BLANKERS and R. CAVALIERI Contact splitting of symplectic Q-homology CP 2...53 W. CHEN Homology spheres yielding lens spaces...73 M. TANGE
24th GÖKOVA GEOMETRY-TOPOLOGY CONFERENCE May 29 June 2, 2017 List of Participants Akbulut, Selman Altunöz, Tülin Arabadji, Mihail Argüz, N. Hülya Arıkan, Fırat Asadi-Golmankhaneh, M. A. Berktav, Kadri İlker Bhupal, Mohan Cavalieri, Renzo Chen, Weimin Courte, Sylvain Çalışkan, Elçin Çengel, Adalet Çoban, Hatice Daemi, Aliakbar Demir, Ümmühan Dereli, Tekin Dimitroglou, Georgios Dirican, Esma Ekholm, Tobias Erdal, Mehmet Akif Evren, Özgür Fang, Bohan Ferahlar, Cüneyt Finashin, Sergey Fossati, Edoardo Galkin, Sergey Genlik, Deniz Golovko, Roman Michigan State University, USA Imperial College London, England Urmia University, Iran Colorado State University, USA University of Massachusetts Amherst, USA Université Grenoble Alpes, France TED University, Turkey Stony Brook University, USA Boğaziçi University, Turkey Koç University, Turkey Uppsala University, Sweden İzmir Institute of Technology, Turkey Uppsala University, Sweden Bilkent University, Turkey Antalya, Turkey Peking University, China Eskişehir, Turkey Scuola Normale Superiore di Pisa, Italy National Research University-HSE, Russia Université libre de Bruxelles, Belgium
Güntürkün, Hakan Ilbıra, Sabahattin Karacan, Yasin Kartal, Yusuf Barış Kebeci, Ahmet Berkay Kelekci, Özgür Kılıç, Ülgen Kişioğlu, Mehmet Kişisel, Özgür Kragh, Thomas Kurnosov, Nikon Lau, Siu-Cheong Massot, Patrick Meral, Mücahit Mikhalkin, Grigory Moreno, Agustin Önder, Turgut Özkan, Recep Seçgin, Merve Sözer, Kürşat Süküt, Mertcan Şavk, Oğuz Tange, Motoo Taştan, Fulya Topkara, Mustafa Tosun, Bülent Ünlü, Nurdan Yıldırım, Üstün Yıldız, Eylem Zeliha Yılmaz, Kürşat Yılmaz, Özlem Duygu Yılmaz, Yağmur Zentner, Raphael Zeybek, Hatice Galatasaray University, Turkey Massachusetts Institute of Technology, USA Koç University, Turkey University of Turkish Aeronautical Association, Turkey University at Buffalo, USA Uppsala University, Sweden National Research University-HSE, Russia Boston University, USA École Polytechnique, France Université degenève, Switzerland Humboldt University, Germany Indiana University, USA Boğaziçi University, Turkey University of Tsukuba, Japan Boğaziçi University, Turkey Mimar Sinan Fine Arts University, Turkey University of Alabama, USA Mimar Sinan Fine Arts University, Turkey Michigan State University, USA Michigan State University, USA Mimar Sinan Fine Arts University, Turkey Regensburg University, Germany Hacettepe University, Turkey