Publications:

Topology of Real Algebraic Sets (with H.C. King)

Casson Invariant for Oriented Homology 3-Spheres (with J. McCarthy)

4-manifolds (Oxford University press)

Notes on Geometric Topology

Notes on Algebraic Topology


101. Brieskorn spheres bounding rational balls (with K.Larson)

100. Legendrian contact homology in closed contact manifolds (with F.Arikan)

99. On infinite order corks

98. Complex G2 and associative grassmannian (with M.B. Can)

97. Lefschetz Fibrations on Compact Stein Manifolds (with F.Arikan)

96. Stabilizations via Lefschetz fibrations and exact open books (with F. Arikan)

95. An absolutely exotic contractible 4-manifold (with D. Ruberman)
(to appear in Comm. Math. Helvetici)

94. Contact 5-manifolds admitting open books with exotic pages (with K. Yasui)
Math.Res.Lett. vol 22, no. 6, 1589-1599 (2015)

93. Algebraic topology of G2 manifolds (with M. Kalafat)
(to appear in Expositiones Mathematicae)

92. Isotoping 2-spheres in 4-manifolds
Proc. GGT (2014) 267-269

91. Cork twisting Schoenflies problem
Journal of GGT, volume 8 (2014) 35-43

90. The Akhmedov-Park exotic CP^2 #2(-CP^2)
Advances in Math 274 (2015) 948-967

89. The Akhmedov-Park exotic CP^2 #3(-CP^2)
Advances in Math 274 (2015) 928-947

88. Calibrations and manifolds with special holonomy (with S. Salur)
Real and Complex Submanifolds, Daejeon, Korea, Aug/2014,
Springer Proceedings in Math and Stat. (2015) 505-514

87. Infinitely many small exotic Stein fillings (with K.Yasui)
Jour. of Symp. Geometry v.12, no 4 (2014) 673-684

86. Topology of multiple log transforms of 4-manifolds,
Int. J. Math., 24, 1350052 (2013).

85. Legendrian realization in convex Lefschetz fibrations and convex stablizations (with F.Arikan)
Forum Math. 27 (2015) 1829-1847

84. Gluck twisting 4-manifolds with odd intersection form (with K.Yasui)
(to appear Math Research Letters)

83. Heegard Floer homology of some Mazur type manifolds (with C.Karakurt)
Proc. Amer. Math. Soc. 142 (2014), 4001-4013

82. Stein 4-manifolds and corks (with K.Yasui)
Jour GGT, vol 6 (2012) 58-79.

81. Cork twisting exotic Stein 4-manifolds (with K.Yasui)
Jour DG, vol 93, no1 (2013) 1-36.

80. A class of locally conformally flat 4-manifolds (with M.Kalafat)
New York Jour of Math, vol 18 (2012) 733-763.

79. Action of the cork twist on Floer homology (with C. Karakurt)
Proc. of GGT/2011, Int. Press (2012) 42-52.

78. A note on Lefschetz Fibrations on Compact Stein 4-manifolds (with F.Arikan)
Comm. in Contemporary Mathematics Vol. 14, No. 05 (2012)

77. The Dolgachev Surface (Disproving Harer-Kas-Kirby Conjecture)
Comm. Math. Helvetici, vol 87, issue 1 (2012) pp. 187-241

76. Exotic Structures on smooth 4-manifolds
Perspectives in Analysis, Geometry and Topology, Progress in Math, vol 296 (2012) 1-18

75. Double knot surgeries to S^4 and S^2 x S^2
Int. Jour. of Math., vol 22, issue 12 (2011) 1735-1741

74. Nash homotopy spheres are standard
Proc. of GGT/2010, Int. Press (2011) 135-144.

73. The Catanese-Ciliberto-Mendes Lopes surface
Journal of GGT, vol 5 (2011) 86-102.

72. Knot surgery and Scharlemann manifolds
Forum Mathematicum, ISSN (online), 1435-5337, (19/05/2011)

71. Twisting 4-manifolds along RP^2
Proceedings of GGT/2009, Int. Press (2010) 137-141.

70. Cappell-Shaneson homotopy spheres are standard
Ann. of Math., 171 (2010) 2171-2175. .

69. Small exotic Stein manifolds (with K.Yasui)
Comm. Math. Helvetici, vol 85, issue 3 (2010) 705-721.

68. Mirror Duality in a Joyce Manifold (with B.Efe and S.Salur)
Advances in Math., vol. 223, Issue 2, 30 January (2010), 444-453

67. Mirror Duality via G2 and Spin(7) Manifolds (with S.Salur)
Arithmetic and Geometry Around Quantization, Progress in Math., vol 279 (2010) 1-21.

66. An infinite family of exotic Dolgachev surfaces without 1- and 3- handles
Jour. of GGT, vol 3 (2009) 22-43.

65. Knotting corks (with K.Yasui)
Jour of Topology (2009) 2(4) 823-839.

64. Deformations in G_2 Manifolds (with S.Salur)
Advances in Math., vol 217, Issue 5 (2008) 2130-2140.

63. Calibrated manifolds and gauge theory (with S.Salur)
Jour. Reine Angew. Math. (Crelle's J.) vol 2008, no. 625 (2008) 187-214.

62. Corks, Plugs and exotic structures (with K.Yasui)
Jour. of GGT, vol 2 (2008) 40-82.

61. Every 4-Manifold is BLF (with C.Karakurt)
Jour. of GGT, vol 2 (2008) 83-106.

60. Real algebraic structures,
Proceedings of GGT, (2005) 49-58,

59. Transcendental submanifolds of RPn (with H.King),
Comm. Math. Helv., 80, (2005), 427-432

58. An involution acting non-trivially on Heegaard-Floer homology (with S.Durusoy),
Fields Institute Communications,vol 47, (2005),1-9

57. Cappell-Shaneson's 4-dimensional s-cobordism,
Geometry-Topology, vol.6, (2002), 425-494

56.On the Topology of Compact Stein Surfaces (with B. Ozbagci),
IMRN, vol 15 (2002), 769-782

55 Lefschetz Fibrations on Compact Stein Surfaces (with B. Ozbagci),
Geometry and Topology, vol.5 (2001) 319-334

54. Variations on Fintushel-Stern knot surgery
T.J.M. (2001), 81-92

53. A Fake Cusp and a Fishtail
Turkish Jour of Math, 23 (1999), no1, 19-31; and
Proc of 6th Gokova Geometry-Topology Conference.

52. Scharlemann's manifold is standard
Ann of Math., 149 (1999) 497-510.

51. Decomposing a 4-manifold
PAMS, vol 127, no 11, Feb (1999) 3413-3419

50. Convex decomposition of 4-manifolds (with R. Matveyev)
IMRN International Math Research Notices, 1998, No.7 371-381

49. Exotic structures and adjunction inequality (with R. Matveyev),
Turkish Journal of Math 21 (1997) 47-53

48. A note on contact structures (with R. Matveyev)
Pac. Jour of Math, vol.182, no.2,(1998) 201-204

47. A note on a Homology Sphere
PAMS vol 125, no 2 (1997) 625-628

46. Lectures on Seiberg-Witten invariants,
Turkish Journal of Math 20 (1996) 95-118

45. On Universal Relations in Gauge theory
TAMS, vol 348, no 4 (1996) 1329-1355.

44. Torsion Class and Universal constraint of Donaldson invariants for odd manifolds
(with Tom Mrowka and Yongbin Ruan), TAMS, vol.347, no 1 (1995), 63-76

43. Torsion in Gauge theory
Doga Journal of Math 19 (1995), 167-177

42. On algebraic vector bundles (with H.King),
Contemp. Math., no.182 (1995), 155-158

41. An Involution Permuting Floer Homology
Doga Journal of Math 18 (1994) 16-22.

40. Quotients of Complex Surfaces under Complex Conjugation
Journal reine angew. Math. 447 (1994), 83-90

39. On algebraic structures on manifolds
Contemporary Math. volume 155 (1994), 11-17

38. Knots and Exotic Structures on 4-Manifolds
Jour. of Knot Theory and its Ramifications, vol.2 No. 1 (1993) 1-10

37. Lectures on Algebraic Spaces,
1992 Proceedings of KAIST math. workshop (1993), 1-15

36. Transcendental submanifolds of R^n (with H. King)
Comm. Math. Helv.68 (1993) 308-318

35. Constructing strange real algebraic sets (with H.King)
Lecture notes in math (Springer Verlag), no. 1524 (1992), 120-127

34. Rational Structures on 3-manifolds (with H. King),
Pacific Journ. of Math., vol.150, no.2, (1991), 201-214

33. Algebraicity of Immersions (with H. King),
Topology, vol. 31, no. 4, (1992), 701-712.

32. On approximating submanifolds by algebraic sets
and a solution to the Nash conjecture
(with H. King),
Invent.Math.107 (1992), 87-98

31. Some new results on the topology of nonsingular algebraic sets
(with H. King), B.A.M.S. vol. 23, no.2, Oct (1990) 441-446.

30. A solution to a conjecture of Zeeman
Topology, vol.30, no.3, (1991), 513-515.

29. An exotic 4-manifold,
Journ. of Diff. Geom. 33, (1991), 357-361.

28. A Fake compact contractible 4-manifold
Journ. of Diff. Geom. 33, (1991), 335-356.

27. All compact manifolds are homeomorphic to totally algebraic real algebraic sets
(with H. King), Comm. Math. Helv. 66, (1991), 139-149.

26. The topology of resolution towers (with H. King),
T.A.M.S., vol. 302, no. 2 (1987), 497-521.

25. Constructing a fake 4-manifold by Gluck construction to a standard 4-manifold
Topology, vol. 27, no. 2 (1988), 239-243.

24. Polynomial equations of immersed surfaces, (with H. King),
Pacific Journ. of Math., vol. 131, no. 2 (1988), 209-217.

23. Introduction to resolution towers (with H. King),
Geometry and Topology, Marcel Dekker inc., vol. 105, (1987), 1-11.

22. A resolution theorem for homology cycles of real algebraic varieties
(with H. King), Invent. Math. 79 (1985), 584-601.

21. Submanifolds and homology of nonsingular real algebraic varieties,
(with H. King), Amer. Journ. of Math. (1985), 45-83.

20. The topology of real algebraic sets (with H. King),
L'Enseignement Math. 29 (1983), 221-261.

19. Topology and real algebraic geometry
Rocky Mountain Journal of Math. 14 (1983), 907-912.

18. On fake S^3xS^1#S^2xS^2
Comb. Methods in Topology and Alg. Geom.,
Contemporary Math. 44 (1985).

17. A fake 4-manifold, 4-Manifold Topology
Contemporary Math. 35 (1984), 75-141.

16. A potential smooth counterexample in dimension 4
to the Poincare conjecture, the Schonflies conjecture
and the Andrew-Curtis conjecture
(with R. Kirby),
Topology 24, no. 4 (1985), 375-390.

15. All knots are algebraic (with H. King),
Comm. Math. Helv. 56, Fasc. 3 (1981), 339-351.

14. Branched covers of surfaces in 4-manifolds,
(with R. Kirby), Math. Ann. 252 (1980), 111-131.

13. An exotic involution on S4, (with R. Kirby),
Topology 18 (1979), 75-81.

12. Mazur manifolds, (with R. Kirby),
Mich. Math. J. 26 (1979), 259-284.

11. On representing homology classes of 4-manifolds
Inventiones Math. 49 (1978), 193-198.

10. A note on homology surgery and the Casson-Gordon invariant
Math. Proc. Camb. Phil. Soc. 85 (1971), 335-344.

9. On 2-dimensional homology classes of 4-manifolds
Math. Proc. Camb. Phil. Soc. 82 (1977), 99-106.

8. A topological resolution theorem (with L. Taylor),
Pub. I.H.E.S., 53 (1981), 163-196.

7. A topological resolution theorem (with L. Taylor),
B.A.M.S. 2 (1980), 174-176.

6. Real algebraic structures on topological spaces
(with H. King), Pub I.H.E.S. 53 (1981), 79-162.

5. A topological characterization of real algebraic varieties
(with H. King), B.A.M.S. 2 (1980), 171-173.

4. A relative Nash theorem, (with H.King),
T.A.M.S. 267, no. 2 (1981), 465-481.

3. The topology of real algebraic sets with isolated singularities,
(with H. King), Ann. of Math. 113 (1981), 425-446.

2. Real algebraic variety structures on P.L. manifolds
(with H. King), B.A.M.S. 83 (1977), 281-282.

1. Real algebraic equations for a class of P.L. spaces
Math. Ann. 231 (1977), 19-31.


Books:

1. Casson's invariant of oriented homology 3-spheres, (with J. McCarthy),
Annals of Math. Math Notes, no. 36 (1990)

2. Topology of real algebraic sets, (with H. King),
MSRI book series no. 25, Springer-Verlag (1992).

Books Edited:

1. Proceedings of Gokova Geometry-Topology Conferences/ Int Press (1993-Present)

2. Real Algebraic Geometry and topology, Contemp. Math, 182 (1995)


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