Topology of Real Algebraic Sets (with H.C. King)
Casson Invariant for Oriented Homology 3-Spheres (with J. McCarthy)
4-manifolds (Oxford University press)
110.
On 4-dimensional smooth Poincare Conjecture.
109.
Corks and exotic ribbons in B^4
European Journal of Mathematics (2022)
https://doi.org/10.1007/s40879-022-00581-1
108.
On Shake slice knots
(with E.Z.Yildiz)
107.
On the Smale Conjecture for Diff(S4).
106.
On an infinite order cork automorphism.
105.
Cork twists and automorphisms of 3-manifolds.
Journal of Gokova Geometry Topology vol 14 (2020) 91-103
104.
Homotopy 4-spheres associated to an infinite order loose cork.
Journal of Gokova Geometry Topology vol 14 (2020) 104- 121
103.
Knot concordances in S^1 x S^2 and exotic smooth 4-manifolds.
(with E.Z.Yildiz)
JGGT, vol 13 (2019) 41-52
102.
Complex $G_2$ manifolds.
(with U.Yildirim)
JGGT, vol 13 (2019) 15-40
101.
Infinitely many absolutely exotic manifolds.
Proceedings of Gokova Geometry Topology (2018-2019) 32-36
100.
Complex G2 and associative grassmannian.
(with M.B. Can)
JGGT Volume 11 (2017) 56-79
99.
Stabilizations via Lefschetz fibrations and exact open books
(with F. Arikan)
JGGT Volume 11 (2017) 1-31
98.
On Legendrian embeddings into open book decompositions
(with F. Arikan)
Arkiv for Matematik, vol 57, no 2 (2019), 227-245
97.
Brieskorn spheres bounding rational balls
(with K.Larson)
PAMS vol. 146, no.4 (2018), 1817-1824.
96.
On infinite order corks
PGGT (2017) IP Paperback (ISBN 9781571463401) 151-157.
95.
An absolutely exotic contractible 4-manifold
(with D. Ruberman)
Comm. Math. Helvetici, vol 91, issue 1 (2016), 1-19
94.
Algebraic topology of G2 manifolds
(with M. Kalafat)
Expositiones Mathematicae, v.34, no.1 (2016), 106-129
93.
The Akhmedov-Park exotic CP^2 #2(-CP^2)
Advances in Math 274 (2015) 948-967
92.
The Akhmedov-Park exotic CP^2 #3(-CP^2)
Advances in Math 274 (2015) 928-947
91.
Contact 5-manifolds admitting open books with exotic pages
(with K. Yasui)
Math.Res.Lett. vol 22, no. 6 (2015) 1589-1599
90.
Legendrian realization in convex Lefschetz fibrations and convex stablizations
(with F.Arikan)
Forum Math. 27 (2015) 1829-1847
89.
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
88.
Infinitely many small exotic Stein fillings
(with K.Yasui)
Jour. of Symp. Geometry v.12, no 4 (2014) 673-684
87.
Isotoping 2-spheres in 4-manifolds
Proc. GGT (2014) 267-269
86.
Cork twisting Schoenflies problem
Journal of GGT, volume 8 (2014) 35-43
85.
Heegard Floer homology of some Mazur type manifolds
(with C.Karakurt)
Proc. Amer. Math. Soc. 142 (2014), 4001-4013
84.
Topology of multiple log transforms of 4-manifolds,
Int. J. Math., 24, 1350052 (2013).
83.
Gluck twisting 4-manifolds with odd intersection form
(with K.Yasui)
Mathematical Research Letters, 20(2) (2013) 385-389
82.
Cork twisting exotic Stein 4-manifolds
(with K.Yasui)
Jour DG, vol 93, no1 (2013) 1-36.
81.
Stein 4-manifolds and corks
(with K.Yasui)
Jour GGT, vol 6 (2012) 58-79.
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.
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).
1. Proceedings of Gokova Geometry-Topology Conferences/ Int Press (1993-Present)
2. Real Algebraic Geometry and topology, Contemp. Math, 182 (1995)