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 GOKOVA
GEOMETRY-TOPOLOGY CONFERENCE
May 27 – June 1, 2013
Participants of the 20th G¨okova Geometry-Topology Conference
PREFACE
This volume contains articles from the twentieth G¨okova 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
¨ ITAK
˙
both TUB
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 Y¨
ucelen for hosting and supporting us to realize
this meeting on the wonderful scenic coast of G¨okova 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 GOKOVA
GEOMETRY-TOPOLOGY CONFERENCE
May 27 – June 1, 2013
List of Participants
Akbulut, Selman
Akhmedov, Anar
Akyol, Ay¸seg¨
ul
Alekseev, Anton
Altun¨
oz, T¨
ulin
Arg¨
uz, N. H¨
ulya
Arıkan, Fırat
Aydın, Emel
Bauer, Stefan
˙
Baykur, R. Inan¸
c
Behrens, Stefan
Bhupal, Mohan
Bircan, Karatu˘g Ozan
Borat, Ay¸se
Bostan, Sezen
Can, Mahir Bilen
¨ ur
Ceyhan, Ozg¨
Co¸skun¨
uzer, Barı¸s
C
¸ elik, M¨
unevver
C
¸ engel, Adalet
C
¸ oban, Hatice
C
¸ olak, Ece G¨
ul¸sah
Davydenkova, Irina
Degtyarev, Alexander
Demir, A. Sait
Eftekhary, Eaman
¨ ur
Ege, Ozg¨
Ekholm, Tobias
Erden, Meltem
Michigan State University, USA
University of Minnesota, USA
Bilkent University, Turkey
Universit´e de Gen`eve , Switzerland
Middle East Technical University, Turkey
University of Hamburg, Germany
Middle East Technical University, Turkey
Celal Bayar University, Turkey
Universit¨
at Bielefeld, Deutschland
MPIM, Germany
MPIM, Germany
Middle East Technical University, Turkey
Ko¸c University, Turkey
Aberdeen University, UK
Middle East Technical University, Turkey
Tulane University, USA
University of Luxembourg, Luxembourg
Ko¸c University, Turkey
METU North Cyprus Campus, North Cyprus
Middle East Technical University, Turkey
Middle East Technical University, Turkey
B¨
ulent Ecevit University, Turkey
Universit´e de Gen`eve, Switzerland
Bilkent University, Turkey
Istanbul Technical University, Turkey
IPM, Iran
Celal Bayar University, Turkey
Uppsala University, Sweden
Ege University, Turkey
Erdo˘
gan Demir, Sultan
Esen, O˘gul
Etg¨
u, Tolga
Finashin, Sergey
Gillam, William Daniel
G¨
une¸s, C
¸ isem
G¨
unt¨
urk¨
un, Hakan
G¨
urb¨
uzer, Sabri Kaan
Hacıyusufo˘glu, C
¸ a˘
grı
Ilbıra, Sabahattin
Itenberg, Ilia
˙ sal, Hanife
I¸
Kalafat, Mustafa
Kalinin, Nikita
Karakurt, C
¸ a˘
grı
Kılı¸c, Mehmet
Kirby, Rob
Lang, Lionel
Levine, Adam
Melvin, Paul
Mikhalkin, Grigory
Oancea, Alexandru
¨
Onder,
Turgut
¨
Ozba˘
gcı, Burak
Petrunin, Anton
Rau, Johannes
Rezazadegan, Reza
Rossi, Paolo
Sakallı, S¨
umeyra
Salur, Sema
Se¸cgin, Merve
Seyhun, Merve
Shkolnikov, Mikhail
S¸ent¨
urk, Berrin
Istanbul Technical University, Turkey
Yeditepe University, Turkey
Ko¸c University, Turkey
Middle East Technical University, Turkey
ETH Z¨
urich, Switzerland
Bilkent University, Turkey
Gediz University, Turkey
Dokuz Eyl¨
ul University, Turkey
Ko¸c University, Turkey
Middle East Technical University, Turkey
Institut de Math´ematiques de Jussieu, France
Middle East Technical University, Turkey
Tunceli University, Turkey
Universit´e de Gen`eve, Switzerland
University of Texas at Austin, USA
Anadolu University, Turkey
UC Berkeley, USA
Universit´e de Gen`eve, Switzerland
Brandeis University, USA
Bryn Mawr College, USA
Universit´e de Gen`eve, Switzerland
Institut de Math´ematiques de Jussieu, France
Middle East Technical University, Turkey
Ko¸c University, Turkey
Pennsylvania State University, USA
Universit¨at des Saarlandes, Germany
Uppsala University, Sweden
Institut de Math´ematique de Bourgogne, France
University of Minessota, USA
University of Rochester, USA
Middle East Technical University, Turkey
Ko¸c University, Turkey
Universit´e de Gen`eve, Switzerland
Bilkent University, Turkey
Tun¸cer, Ata
Tyomkin, Ilya
¨
U˘
gurlu, Ozlem
Ko¸c University, Turkey
Ben-Gurion University of the Negev, Israel
Dokuz Eyl¨
ul University, Turkey
U˘
guz, Selman
Harran University, Turkey
¨
˙
Unal, Ibrahim
METU North Cyprus Campus, North Cyprus
¨
˙
Unal,
Inan
Tunceli University, Turkey
¨
Unl¨
u, Hatice
Middle East Technical University, Turkey
Walter, Benjamin
METU North Cyprus Campus, North Cyprus
Yıldız, Eylem Zeliha Dokuz Eyl¨
ul University, Turkey
Yi˘
git, U˘gur
Ege University, Turkey
¨ un
Yıldırım, Ust¨
Michigan State University, USA
Zabun, R. Arzu
Middle East Technical University, Turkey
Download

Gökova Geometry-Topology Conference 2013