My publications and preprints

 

 

32. Small Lefschetz fibrations and exotic 4-manifolds. (J. with R.Inanc Baykur) preprint arXiv:1510.00089

 

31. Arbitrarily long factorizations in mapping class groups (J. with Elif Dalyan and Mehmetcik Pamuk) Internat. Math. Res. 2015, No 19, 9400—9414.

 

30. Sections of surface bundles and Lefschetz fibrations (J. with R.Inanc Baykur and Naoyuki Monden) Trans. Amer. Math. Soc, 365 (2013) no.11, 5999—6016.

 

29. The symplectic representation of the mapping class group is unique, preprint arXiv:1108.3241

 

28. Low-dimensional linear representations of mapping class groups, preprint. arXiv:1104.4816

 

27. Minimal generating sets for the mapping class group of a surface.  in Handbook of Teichmüller spaces III. Editor: Athanase Papadopoulos, European Mathematical Society, 2012,441--463.

 

26. Automorphisms of the disk complex (J. with Saul Schleimer). submitted.

 

25. On the ideal triangulation graph of a punctured surface (J. with Athanase Papadopoulos). Annalesde l’Institut Fourier 62 (2012), fascicule 4, 1367--1382.

 

24. On the arc and curve complex of a surface (J. with Athanase Papadopoulos),  Math. Proc. Camb. Phil. Soc. 148 (2010), no 3, 473—483.

 

23. Automorphisms of complexes of curves on nonorientable surfaces (J. with Ferihe Atalan). Groups, Geomet. Dyn. 8 (2014),, no. 1, 39--68.

 

22. Number of pseudo--Anosov elements in the mapping class group of a four--holed sphere (J. with Ferihe Atalan). Turkish Journal of Mathematic 34 (2010), no 4, 585--592.

 

21. Lefschetz fibrations on 4-manifolds (J. with Andras Stipsicz), in Handbook of Teichmüller spaces II. Editor: Athanase Papadopoulos, European Mathematical Society 2009, 271--296.   abstract.and pdf.

 

20. Lefschetz fibrations and an invariant of finitely presented groups.  Internat. Math. Res. Notices 2009, No.9 1547-1572. arXiv:  math.GT/0703196) .  abstract.

 

19. Problems on homomorphisms of mapping class groups. Problems on Mapping Class groups and Related Topics, B. Farb Ed., Amer. Math. Soc.,  Proc. Symp. Pure Math., 74 (2006), 85 -- 94. abstract or ps. Click here for the whole book.



18. On sections of elliptic fibrations (J. with Burak Ozbagci). Michigan Math. J. 56 (2008) 77--87.  abstract. or ps or pdf (April 2006 version).

 

17. Automorphisms of the Hatcher-Thurston complex (J. with E. Irmak).  Israel Journal of Mathematics 162 (2007) 183--196  (arxiv:math.GT / 0409033)..

 

16. Generating the surface mapping class group by two elements, Transections of Amer. Math. Soc. 357 (2005), 3299—3310.  abstract  or ps  (October 2003 version).

 

15. On stable torsion length of a Dehn twist, Mathematical Research Letters 12 (2005), 335—339.

 

14. Homomorphisms from mapping class groups (J. with W. Harvey), Bulletin of London Math. Soc. 37 (2005), 275--284.  abstract  or ps  (June 2003 version)

 

13. On cofinite subgroups of mapping class groups, Proceedings of 9th Gokova Geometry-Topology Conference, Turkish Journal of Mathematics 27 no. 1 (2003), 115-123.  abstract

 

12. Low-dimensional homology groups of mapping class groups: a survey, Proceedings of 8th Gokova Geometry-Topology Conference, Turkish Journal of Mathematics 26 no. 1 (2002),  101-114. abstract  or ps  (November 2001 version).

 

11. The second homology groups of mapping class groups of orientable surfaces (J. with Andras Stipsicz), Math. Proc. Camb. Phil. Soc. 134 No.3 (2003), 479-489. abstract  or ps  (May 2001 version).

 

10. Stable commutator length of a Dehn twist, Michigan Math. J. 52 (2004), 23--31.   abstract  or ps  (October 2002 version).

 

9. Commutators, Lefschetz fibrations and signatures of surface bundles, (J. with Hisaaki. Endo, Dieter Kotschick , Burak Ozbagci , Andras Stipsicz),  Topology 41 No.5 (2002), 961-977. abstract,  or  ps (July 2000 version).

 

8. Mapping class groups of nonorientable surfaces, Geometriae Dedicata 89 (2002), 109-133. abstract,  or  ps  (February 2000 version).

 

7. Noncomplex smooth 4-manifolds with Lefschetz fibrations, Internat. Math. Res. Notices  2001 no. 3, 115-128.  abstract or ps  (February 2000 version).

 

6. Minimal number of singular fibers in a Lefschetz fibration (J. with Burak Ozbagci), Proc. Amer. Math. Soc. 129 no. 5 (2001) 1545-1549.   abstract.

 

5. On endomorphisms of surface mapping class groups, Topology 40 no. 3 (2001), 463-467.   abstract.

 

4. On the linearity of certain mapping class groups, Turkish Journal of Mathematics 24 no. 4  (2000), 367-371. abstract,  or  ps (October 2000 version).

 

3. Surface mapping class groups are ultrahopfian (J. with John D. McCarthy),  Math. Proc. Camb. Phil. Soc. 129 no. 1 (2000), 35-53.  abstract.

 

2. Automorphisms of complexes of curves on punctured spheres and on punctured tori, Topology and its Applications  95 no. 2 (1999), 85-111. abstract.

 

1. First homology group of mapping class groups of nonorientable surfaces,  Math. Proc. Camb. Phil. Soc. 123 no.3 (1998), 487-499.  abstract.


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