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Gökova Geometry-Topology Conference 2013
Proceedings of the Gökova Geometry-Topology Conference 2013 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 2013 editors: Selman Akbulut, Michigan State University Denis Auroux, University of California at Berkeley Turgut Önder, Middle East Technical University, Ankara, Turkey Copyright © 2013, 2014 by Gökova Geometry-Topology Conferences Published in 2014 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 978-1-57146-285-5 Printed in the United States of America. 20th GÖKOVA GEOMETRY-TOPOLOGY CONFERENCE May 27 – June 1, 2013 Participants of the 20th Gökova Geometry-Topology Conference PREFACE This volume contains articles from the twentieth Gökova Geometry Topology Conference. We thank all the participants and the speakers of this conference for making it a very lively meeting. Here are many interesting research and survey papers, as well as the two longer articles from the minicourses, one delivered by Tobias Ekholm on topological strings and knots, another by Mahir Can about representations of G2 . We thank both TÜBİTAK and NSF for funding this conference, and thank IP for printing and distributing these proceedings, and also thank Selahi Durusoy for putting these proceedings together. Finally, many thanks to Hotel Yücelen for hosting and supporting us to realize this meeting on the wonderful scenic coast of Gökova Bay. March 2014 The Editors CONTENTS Notes on topological strings and knot contact homology . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 T. EKHOLM An example of a reducible Severi variety . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 I. TYOMKIN Branching through G2 . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .41 M. B. CAN and R. HOWE Generalized Heegaard Floer correction terms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 A. S. LEVINE and D. RUBERMAN On the construction of the sutured Floer complex . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 97 A. ALISHAHI and E. EFTEKHARY The telescopic construction: a microsurvey . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110 D. PANOV and A. PETRUNIN Asymptotic Plateau problem: a survey . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120 B. COSKUNUZER Plenty of Morse functions by perturbing with sums of squares . . . . . . . . . . . . . . . . . . . . . . 147 A. LERARIO 20th GÖKOVA GEOMETRY-TOPOLOGY CONFERENCE May 27 – June 1, 2013 List of Participants Akbulut, Selman Akhmedov, Anar Akyol, Ayşegül Alekseev, Anton Altunöz, Tülin Argüz, N. Hülya Arıkan, Fırat Aydın, Emel Bauer, Stefan Baykur, R. İnanç Behrens, Stefan Bhupal, Mohan Bircan, Karatuğ Ozan Borat, Ayşe Bostan, Sezen Can, Mahir Bilen Ceyhan, Özgür Coşkunüzer, Barış Çelik, Münevver Çengel, Adalet Çoban, Hatice Çolak, Ece Gülşah Davydenkova, Irina Degtyarev, Alexander Demir, A. Sait Eftekhary, Eaman Ege, Özgür Ekholm, Tobias Erden, Meltem Michigan State University, USA University of Minnesota, USA Bilkent University, Turkey Université de Genève , Switzerland Middle East Technical University, Turkey University of Hamburg, Germany Middle East Technical University, Turkey Celal Bayar University, Turkey Universität Bielefeld, Deutschland MPIM, Germany MPIM, Germany Middle East Technical University, Turkey Koç University, Turkey Aberdeen University, UK Middle East Technical University, Turkey Tulane University, USA University of Luxembourg, Luxembourg Koç University, Turkey METU North Cyprus Campus, North Cyprus Middle East Technical University, Turkey Middle East Technical University, Turkey Bülent Ecevit University, Turkey Université de Genève, Switzerland Bilkent University, Turkey Istanbul Technical University, Turkey IPM, Iran Celal Bayar University, Turkey Uppsala University, Sweden Ege University, Turkey Erdoğan Demir, Sultan Esen, Oğul Etgü, Tolga Finashin, Sergey Gillam, William Daniel Güneş, Çisem Güntürkün, Hakan Gürbüzer, Sabri Kaan Hacıyusufoğlu, Çağrı Ilbıra, Sabahattin Itenberg, Ilia İşal, Hanife Kalafat, Mustafa Kalinin, Nikita Karakurt, Çağrı Kılıç, Mehmet Kirby, Rob Lang, Lionel Levine, Adam Melvin, Paul Mikhalkin, Grigory Oancea, Alexandru Önder, Turgut Özbağcı, Burak Petrunin, Anton Rau, Johannes Rezazadegan, Reza Rossi, Paolo Sakallı, Sümeyra Salur, Sema Seçgin, Merve Seyhun, Merve Shkolnikov, Mikhail Şentürk, Berrin Istanbul Technical University, Turkey Yeditepe University, Turkey Koç University, Turkey Middle East Technical University, Turkey ETH Zürich, Switzerland Bilkent University, Turkey Gediz University, Turkey Dokuz Eylül University, Turkey Koç University, Turkey Middle East Technical University, Turkey Institut de Mathématiques de Jussieu, France Middle East Technical University, Turkey Tunceli University, Turkey Université de Genève, Switzerland University of Texas at Austin, USA Anadolu University, Turkey UC Berkeley, USA Université de Genève, Switzerland Brandeis University, USA Bryn Mawr College, USA Université de Genève, Switzerland Institut de Mathématiques de Jussieu, France Middle East Technical University, Turkey Koç University, Turkey Pennsylvania State University, USA Universität des Saarlandes, Germany Uppsala University, Sweden Institut de Mathématique de Bourgogne, France University of Minessota, USA University of Rochester, USA Middle East Technical University, Turkey Koç University, Turkey Université de Genève, Switzerland Bilkent University, Turkey Tunçer, Ata Tyomkin, Ilya Uğurlu, Özlem Uğuz, Selman Ünal, İbrahim Ünal, İnan Ünlü, Hatice Walter, Benjamin Yıldız, Eylem Zeliha Yiğit, Uğur Yıldırım, Üstün Zabun, R. Arzu Koç University, Turkey Ben-Gurion University of the Negev, Israel Dokuz Eylül University, Turkey Harran University, Turkey METU North Cyprus Campus, North Cyprus Tunceli University, Turkey Middle East Technical University, Turkey METU North Cyprus Campus, North Cyprus Dokuz Eylül University, Turkey Ege University, Turkey Michigan State University, USA Middle East Technical University, Turkey
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