| 词条 | Selman Akbulut |
| 释义 |
| name = Selman Akbulut | image = Selman Akbulut.jpg | alt = | caption = Selman Akbulut at Oberwolfach in 2012. | birth_name = | birth_date = 1949 | birth_place = Balıkesir, Turkey | death_date = | death_place = | nationality = Turkish | education = University of California | other_names = | occupation = Mathematician | years_active = | known_for = Akbulut cork | notable_works = }} Selman Akbulut (born 1949) is a Turkish mathematician and a Professor at Michigan State University. His research is in topology. CareerIn 1975 he earned his Ph.D. from the University of California, Berkeley as a student of Robion Kirby. In topology, he has worked on handlebody theory, low-dimensional manifolds [1], symplectic topology, G2 manifolds. In the topology of real-algebraic sets, he and Henry C. King proved that every compact piecewise-linear manifold is a real-algebraic set; they discovered new [https://arxiv.org/pdf/math/0202086/ topological invariants of real-algebraic sets].[2] He was a visiting scholar several times at the Institute for Advanced Study (in 1975-76, 1980–81, 2002, and 2005).[3] ContributionsHe has developed 4-dimensional handlebody techniques, settling conjectures and solving problems about 4-manifolds, such as a conjecture of Christopher Zeeman,[4] the Harer–Kas–Kirby conjecture, a problem of Martin Scharlemann,[5] and problems of Sylvain Cappell and Julius Shaneson.[6][7][8] He constructed an exotic compact 4-manifold (with boundary) from which he discovered "Akbulut corks".[9][10][11][12] His most recent results concern the 4-dimensional smooth Poincaré conjecture.[13] He has supervised 14 Ph.D students as of 2019. He has more than 100 papers and three books published, and several books edited. Notes1. ^S. Akbulut, 4-Manifolds , Oxford University Press {{isbn| 9780198784869}} https://books.google.com/books?id=1xMBDQAAQBAJ 2. ^S. Akbulut and H.C. King, Topology of real algebraic sets, MSRI Publications, 25. Springer-Verlag, New York (1992) {{isbn|0-387-97744-9}} 3. ^Institute for Advanced Study: A Community of Scholars {{webarchive|url=https://web.archive.org/web/20130106144307/http://www.ias.edu/people/cos/frontpage?page=1 |date=2013-01-06 }} 4. ^S. Akbulut, A solution to a conjecture of Zeeman, Topology, vol.30, no.3, (1991), 513-515. 5. ^S. Akbulut, Scharlemann's manifold is standard, Ann of Math., 149 (1999) 497-510. 6. ^S. Akbulut, Cappell-Shaneson homotopy spheres are standard Ann. of Math., 171 (2010) 2171-2175. 7. ^S. Akbulut, Cappell-Shaneson's 4-dimensional s-cobordism, Geometry-Topology, vol.6, (2002), 425-494. 8. ^M. Freedman, R. Gompf, S. Morrison, K. Walker, Man and machine thinking about the smooth 4-dimensional Poincaré conjecture. Quantum Topol. 1 (2010), no. 2, 171–208 9. ^ S. Akbulut, A Fake compact contractible 4-manifold, Journal of Differential Geometry 33, (1991), 335-356 10. ^S. Akbulut, An exotic 4-manifold, Journ. of Diff. Geom. 33, (1991), 357-361 11. ^B. Ozbagci and A.I. Stipsicz. Surgery on contact 3-manifolds and Stein surfaces (p. 14), Springer {{isbn|3-540-22944-2}} 12. ^A. Scorpan, The wild world of 4-manifolds (p.90), AMS Pub. {{isbn|0-8218-3749-4}} 13. ^http://sbseminar.wordpress.com/category/low-dimensional-topology/poincare-conjecture/ External links
10 : 20th-century Turkish mathematicians|21st-century mathematicians|Topologists|Turkish scientists|Turkish mathematicians|University of California, Berkeley alumni|Institute for Advanced Study visiting scholars|Michigan State University faculty|Living people|1949 births |
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