## Exotic smooth structures on 4-manifolds with zero signature

*Akhmedov, Anar*;

*Park, B. Doug*;

Related identifiers: doi: 10.1007/s00222-010-0254-y - Subject: Mathematics - Symplectic Geometry | Mathematics - Geometric Topology

- References (14) 14 references, page 1 of 2
- 1
- 2

n if L = ±(2kA + 2B) + jT, 0 otherwise,

[1] A. Akhmedov, R. I˙. Baykur and B. D. Park, Constructing infinitely many smooth structures on small 4-manifolds, J. Topol. 1 (2008), 409-428.

[2] A. Akhmedov and B. D. Park, New symplectic 4-manifolds with nonnegative signature, J. G¨okova Geom. Topol. GGT 2 (2008), 1-13.

[3] A. Akhmedov and B. D. Park, Geography of simply connected spin symplectic 4-manifolds, Math. Res. Lett. 17 (2010), 483-492.

[4] A. Akhmedov and B. D. Park, Exotic smooth structures on small 4-manifolds with odd signatures, Invent. Math. (to appear).

[5] A. Akhmedov and B. D. Park, Exotic smooth structures on S2 × S2, arXiv:1005.3346.

[6] D. Auroux, S. K. Donaldson and L. Katzarkov, Luttinger surgery along Lagrangian tori and non-isotopy for singular symplectic plane curves, Math. Ann. 326 (2003), 185-203.

[7] R. Fintushel, B. D. Park and R. J. Stern, Reverse engineering small 4-manifolds, Algebr. Geom. Topol. 7 (2007), 2103-2116.

[8] M. H. Freedman, The topology of four-dimensional manifolds, J. Differential Geom. 17 (1982), 357-453.

[9] K. M. Luttinger, Lagrangian tori in R4, J. Differential Geom. 42 (1995), 220-228.

- Similar Research Results (13) 13 research results, page 1 of 2
- 1
- 2

- Metrics No metrics available

- Download from

- Cite this publication