# Publications

1. The tangent microbundle of a suitable manifold. Proc. Amer. Math. Soc. 32 (1972), 324–326. MR0292087 (45 #1174)
2. The number of roots in a simply-connected H-manifold. Trans. Amer. Math. Soc. 170 (1972), 499–505. MR0307227 (46 #6347) (with Brown, Robert F)
3. Stability implies normal and disc bundles. Bull. Amer. Math. Soc. 79 (1973), 133–135. MR0310880 (46 #9978)
4. On topological and piecewise linear vector fields. Topology 14 (1975),  no. 3, 257–269. MR0394659 (52 #15460)
5. Resolutions of homology manifolds: a classification theorem. J. London Math. Soc. (2) 11 (1975),  no. 4, 474–480. MR0385875 (52 #6734) (with Edmonds, Allan L)
6. Classification theorems for parameterized families of smooth or  piecewise linear manifold structures respecting a submanifold. Illinois J. Math. 21 (1977),  no. 1, 190–219. MR0433460 (55 #6436)
7. Classification of simplicial triangulations of topological  manifolds. Bull. Amer. Math. Soc. 82 (1976),  no. 6, 916–918. MR0420637 (54 #8650) (with Galewski, David E)
8. The relationship between homology and topological manifolds via  homology transversality. Invent. Math. 39 (1977),  no. 3, 277–292. MR0445507 (56 #3847) (with Galewski, David E)
9. Simplicial triangulations of topological manifolds, Amer. Math. Soc. Proc. of Symp. in Pure Math. 32(1977), 65-70. (with Galewski, David E)
10. PL homology 3-spheres and triangulations of manifolds. Proceedings of the 1977 Topology Conference (Louisiana State Univ.,  Baton Rouge, La., 1977), II. Topology Proc. 2(1977),  no. 2, 621–630 (1978). MR0540631 (80k:57038)
11. Classification of simplicial triangulations of topological  manifolds. Ann. of Math. (2) 111 (1980),  no. 1, 1–34. MR0558395 (81f:57012) (with Galewski, David E)
12. Orientation-reversing involutions on homology 3-spheres. Math. Proc. Cambridge Philos. Soc. 85 (1979),  no. 3, 449–451. MR0520461 (81c:57009) (with Galewski, David E)
13. A universal 5-manifold with respect to triangulations, Proceedings of 1976 Georgia Topology Conference, Academic Press, 1979, 345-350. (with Galewski, David E)
14. Constructing lens spaces by surgery on knots. Math. Z. 175 (1980),  no. 1, 33–51. MR0595630 (82i:57009a), Addendum 178(1981) 143. (with Ronald A. Fintushel)
15. An exotic free involution on S4. Ann. of Math. (2) 113 (1981),  no. 2, 357–365. MR0607896 (84g:57036) (with Ronald A. Fintushel)
16. Seifert fibered 3-manifolds and nonorientable 4-manifolds. Low-dimensional topology (San Francisco, Calif., 1981), 103–119, Contemp. Math., 20, Amer. Math. Soc., Providence, RI, 1983. MR0718136 (85e:57011) (with Ronald A. Fintushel)
17. Smooth free involutions on homotopy 4k-spheres. Michigan Math. J. 30 (1983),  no. 1, 37–51. MR0694927 (84f:57025) (with Ronald A. Fintushel)
18. Instantons and the topology of 4-manifolds. Math. Intelligencer 5 (1983),  no. 3, 39–44. MR0737689 (85d:57011) (has been translated into Czech, Russian and Finnish).
19. Another construction of an exotic S1x S3# S2x S2. Four-manifold theory (Durham, N.H., 1982), 269–275, Contemp. Math., 35, Amer. Math. Soc., Providence, RI, 1984. MR0780583 (86g:57013) (with Ronald A. Fintushel)
20. A µ-invariant one homology 3-sphere that bounds an orientable rational ball. Four-manifold theory (Durham, N.H., 1982), 265–268, Contemp. Math., 35, Amer. Math. Soc., Providence, RI, 1984. MR0780582 (86f:57013) (with Ronald A. Fintushel)
21. SO(3)-connections and the topology of $4$-manifolds. J. Differential Geom. 20 (1984),  no. 2, 523–539. MR0788294 (86k:57014) (with Ronald A. Fintushel)
22. Gauge theories as a tool for low dimensional topologists, in Perspectives in mathematics. Anniversary of Oberwolfach 1984. Edited by W. Jäger, J. Moser and R. Remmert. Birkhäuser Verlag, Basel, 1984. 587 pp. ISBN: 3-7643-1624-1 MR0779667 (86d:00009) 497-508.
23. Pseudofree orbifolds. Ann. of Math. (2) 122 (1985),  no. 2, 335–364. MR0808222 (87a:57027) (with Ronald A. Fintushel)
24. O(2) actions on the 5-sphere. Invent. Math. 87 (1987),  no. 3, 457–476. MR0874031 (88e:57032) (with Ronald A. Fintushel)
25. Rational homology cobordisms of spherical space forms. Topology 26 (1987),  no. 3, 385–393. MR0899056 (89d:57051) (with Ronald A. Fintushel)
26. Definite 4-manifolds. J. Differential Geom. 28 (1988),  no. 1, 133–141. MR0950558 (89i:57006) (with Ronald A. Fintushel)
27. Differential geometric invariants for homology three spheres. Algebra and topology 1988 (Taej\u on, 1988), 99–122, Korea Inst. Tech., Taej\u on, 1988. MR1022250 (91b:57022)
28. Instanton homology of Seifert fibred homology three spheres. Proc. London Math. Soc. (3) 61 (1990),  no. 1, 109–137. MR1051101 (91k:57029) (with Ronald A. Fintushel)
29. K3 surfaces containing Σ(2,3,7). J. Differential Geom. 34 (1991),  no. 1, 255–265. MR1114462 (92g:57037) (with Ronald A. Fintushel)
30. Invariants for homology 3-spheres.  Geometry of low-dimensional manifolds, 1 (Durham, 1989),  125–148, London Math. Soc. Lecture Note Ser., 150, Cambridge Univ. Press, Cambridge, 1990.  MR1171895 (93e:57025) (with Ronald A. Fintushel)
31. Integer graded instanton homology groups for homology three-spheresTopology  31  (1992), no. 3, 589–604. MR1174261 (93f:57018) (with Ronald A. Fintushel)
32. 2-torsion instanton invariantsJ. Amer. Math. Soc.  (1993), no. 2, 299–339. MR1168958 (93f:57038) (with Ronald A. Fintushel)
33. A fake 4-manifold with \pi1= Z and b+= 4.  Turkish J. Math.  18  (1994), no. 1, 1–6. MR1270433 (95c:57052) (with Ronald A. Fintushel)
34. Surgery in cusp neighborhoods and the geography of irreducible 4-manifolds. Invent. Math.  117  (1994), no. 3, 455–523. MR1283727 (95f:57040) (with Ronald A. Fintushel)
35. Immersed 2-spheres in 4-manifolds: lectures for the XI ELAM, August 1993.  XI Latin American School of Mathematics (Spanish) (Mexico City, 1993),  311–353, Aportaciones Mat. Comun., 15, Soc. Mat. Mexicana, México, 1995.  MR1360934 (96j:57043)
36. Using Floer’s exact triangle to compute Donaldson invariants, The Floer memorial volume, Progr. Math., 133 (1995), Birkhäuser, Basel, 435-444. MR1362836 (96j:57042) (with Ronald A. Fintushel)
37. Donaldson invariants of 4-manifolds with simple type.  J. Differential Geom.  42  (1995), no. 3, 577–633. MR1367403 (96k:57028) (with Ronald A. Fintushel)
38. Immersed spheres in 4-manifolds and the immersed Thom conjectureTurkish J. Math.  19 (1995), no. 2, 145–157. MR1349567 (96j:57036) (with Ronald A. Fintushel)
39. The blowup formula for Donaldson invariantsAnn. of Math. (2)  143  (1996), no. 3, 529–546. MR1394968 (97i:57036) (with Ronald A. Fintushel)
40. Rational blowdowns of smooth $4$-manifoldsJ. Differential Geom.  46  (1997), no. 2, 181–235. MR1484044 (98j:57047) (with Ronald A. Fintushel)
41. A fake smooth \$ CP2 # R P4.  Math. Res. Lett.  (1997), no. 2-3, 375–378. MR1453067 (98d:57043) (with Ruberman, Daniel)
42. Surfaces in 4-manifolds. Math. Res. Lett.  (1997), no. 6, 907–914. MR1492129 (98k:57047)
43. Knots, Links, and 4-manifolds (with R. Fintushel), Inventiones Mathematicae 134 (1998), 363-400. (with Ronald A. Fintushel). MR1650308 (99j:57033)
44. Computing Donaldson invariants.  Gauge theory and the topology of four-manifolds (Park City, UT, 1994),  145–194, IAS/Park City Math. Ser., 4, Amer. Math. Soc., Providence, RI, 1998. MR1612969 (99e:57046)
45. Constructions of smooth 4-manifolds. Proceedings of the International Congress of Mathematicians, Vol. II (Berlin, 1998).  Doc. Math.  1998,  Extra Vol. II, 443–452 (electronic). MR1648094 (99g:57033) (with Ronald A. Fintushel)
46. Nondiffeomorphic symplectic 4-manifolds with the same Seiberg-Witten invariants.  Proceedings of the Kirbyfest (Berkeley, CA, 1998),  103–111 (electronic), Geom. Topol. Monogr., 2, Geom. Topol. Publ., Coventry, 1999. MR1734403 (2000j:57065) (with Ronald A. Fintushel)
47. Symplectic surfaces in a fixed homology class.  J. Differential Geom.  52  (1999), no. 2, 203–222. MR1758295 (2001j:57036) (with Ronald A. Fintushel)
48. Nonsymplectic 4-manifolds with one basic classPacific J. Math.  194  (2000), no. 2, 325–333. MR1760784 (2001g:57060) (with Ronald A. Fintushel)
49. The canonical class of a symplectic 4-manifoldTurkish J. Math.  25  (2001), no. 1, 137–145. MR1829084 (2002g:57053)
50. Rational surfaces and symplectic 4-manifolds with one basic classAlgebr. Geom. Topol. 2 (2002), 391–402. MR1917059 (2003f:57063) (with Ronald A. Fintushel)
51. Families of simply-connected 4-manifolds with the same Seiberg-Witten invariants, Topology (2004), 43, 1449-1467. MR2081432 (2005d:57044) (with Ronald A. Fintushel)
52. Invariants for Lagrangian ToriGeom. Topol. 8 (2004), 949—968. MR2087074 (2005h:57046)  (with Ronald A. Fintushel)
53. Tori in Symplectic 4-manifolds , Geometry and Topology Monographs, 7 (2004), 311—333. MR2172489 (with Ronald A. Fintushel)
54. Double node neighborhoods and families of simply-connected 4-manifolds with b+=1, J. Amer. Math. Soc, 19 (2006), 171-180. MR2169045 (2006h:57024) (with Ronald A. Fintushel)
55. Will we ever classify simply-connected smooth 4-manifolds? CMI/AMSBook Series, Floer Homology, Gauge Theory and Low Dimensional Topology (2006), 225-240. MR2249255 (2007f:57060)
56. A Celebration of Science– Why not mathematics? Notices of the American Mathematical Society 53 (2006), 759-760.
57. Six Lectures on Four 4-manifolds,  Low dimensional topology, 265–315, IAS/Park City Math. Ser., 15, Amer. Math. Soc., Providence, RI, 2009 (with Ronald A. Fintushel). MR2503498
58. Reverse engineering small 4-manifolds, Algebraic & Geometric Topology 7 (2007) 2103-2116. MR2366188 (2009h:57044) (with Ronald Fintushel, B Doug Park)
59. Surgery on nullhomologous tori and simply connected 4-manifolds with b+=1, Journal of Topology 1 (2008), 1-15. MR2365649 (2008k:57050) (with Ronald A. Fintushel)
60. Exotic group actions on simply-connected smooth 4-manifolds, R.A. Fintushel, R.J. Stern, and N. Sunukjian, Journal of Topology 2 (2009), 769-822. MR2574743
61. Pinwheels and nullhomologous surgery on 4-manifolds with b+=1,  R.A. Fintushel, and R.J. Stern, Algebraic & Geometric Topology 11 (2011) 1649–1699. MR2821436
62. Surgery on Nullhomologous Tori, R.A. Fintushel, and R.J. Stern, Geometry and Topology Monographs 18 (2012) 61-81