My publications and preprints (Mustafa Korkmaz)

     

39. Low-dimensional linear representations of mapping class groups. Journal of Topology 16 (2023) no.3, 899—935. (This paper is the preprint 28+ the preprint 29).

 

38. Geography of surface bundles over surfaces (J. with R.İ.Baykur). Preprint.

arXiv:2302.06702

 

37. Geography of symplectic Lefschetz fibrations and rational blowdowns (J. with R.İ.Baykur, J.Simone). Trans. AMS, to appear.  arXiv:2201.11728.

 

36. Low-slope Lefschetz fibrations (J. with A.Çengel). Journal of Topology and Analysis 15 (2023), no.2, 513--526.  arXiv:2012.07685.

 

35. The mapping class group is generated by two commutators (J. with R.İ.Baykur). Journal of Algebra 574 (2021), 278--291.  arXiv:1908.11306.

 

34. Mapping class group is generated by three involutions. Mathematical Research Letters 27 (2020), no 4, 1095--1108. arXiv:1904.08156.

 

33. Finite rigid sets in curve complexes of non-orientable surfaces (J. with S.Ilbıra). Geometriae Dedicata 206 (2020), 83--103. arXiv:1810.07964.

 

32. Small Lefschetz fibrations and exotic 4-manifolds (J. with R.İ.Baykur). Math. Ann. 367 (2017), no 3-4, 1333--1361. arXiv:1510.00089.

 

31. Arbitrarily long factorizations in mapping class groups (J. with E.Dalyan, M.Pamuk). Internat. Math. Res. 2015, no 19, 9400--9414.

 

30. Sections of surface bundles and Lefschetz fibrations (J. with R.İ.Baykur, N.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. (see 39).

 

28. Low-dimensional linear representations of mapping class groups. preprint. arXiv:1104.4816. /see 39).

 

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 S.Schleimer). preprint.

 

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

 

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

 

23. Automorphisms of complexes of curves on nonorientable surfaces (J. with F.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 F.Atalan). Turkish Journal of Mathematic 34 (2010), no 4, 585--592.

 

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

 

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

 

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. Click here for the whole book.

18. On sections of elliptic fibrations (J. with B.Özbağcı). Michigan Math. J. 56, (2008), 77--87.

 

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.

 

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.

 

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

 

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

 

11. The second homology groups of mapping class groups of orientable surfaces (J. with A.Stipsicz). Math. Proc. Camb. Phil. Soc. 134 (2003), no.3, 479--489.

 

10. Stable commutator length of a Dehn twist. Michigan Math. J. 52 (2004), 23--31.

 

9. Commutators, Lefschetz fibrations and signatures of surface bundles (J. with H.Endo, D.Kotschick , B.Özbağcı , A.Stipsicz).  Topology 41 (2002), no.5, 961-977.

 

8. Mapping class groups of nonorientable surfaces. Geometriae Dedicata 89 (2002), 109--133.

 

7. Noncomplex smooth 4-manifolds with Lefschetz fibrations. Internat. Math. Res. Notices 2001, no. 3, 115--128.

 

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

 

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

 

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

 

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

 

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

 

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