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research:main [2019/12/04 13:24]
ustun
research:main [2020/03/13 18:56] (current)
ustun [Submitted]
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 ===== Interests ===== ===== Interests =====
-I am interested in $G_2$ and Spin(7) manifolds. More specifically,​ I am working on problems related to their calibrated submanifolds (which are volume minimizing submanifolds ​of dimension 3 in $G_2$ case or 4 in Spin(7) ​case). I am also interested in Seiberg-Witten theory, low dimensional topology and applications of algebraic geometry to these topics.+I am interested in $G_2$ and Spin(7) manifolds. 
 +More specifically,​ I am working on problems related to complexification ​of $G_2$ and Spin(7) ​manifolds and interactions of these geometries with other geometric structures (e.g. contact and symplectic structures). 
 +I am also interested in Seiberg-Witten theory, low dimensional topology and applications of algebraic geometry ​and algebraic topology ​to problems in differential geometry.
  
-===== Preprints ​=====+===== Publications ​=====
  
-[[https://​arxiv.org/​abs/​1804.09951|2) (with S. Akbulut) Complex $G_2$ manifolds and Seiberg-Witten Equations]]+==== Published ====
  
-===== Accepted for Publication =====+[[https://​gokovagt.org/​journal/​2019/​akbuyildirim.html|2) (joint with S. Akbulut) Complex $G_2$ manifolds and Seiberg-Witten Equations]],​ Journal of Gökova Geometry Topology (2019) 15-40
  
-[[https://arxiv.org/abs/1711.05169|1) On the Complex Cayley Grassmannian]] ​(Accepted for publication by Journal of Algebra)+[[https://doi.org/10.1016/j.jalgebra.2019.11.035|1) On the Complex Cayley Grassmannian]]Journal of Algebra ​547 (2020519-537 
 + 
 +==== Accepted ==== 
 + 
 +3) (joint with E. Windes) Two-Frame Fields on Simply Connected Spin 7-Manifolds - Proceedings of the 12th ISAAC Congress, March 2020
  
research/main.1575465846.txt.gz · Last modified: 2019/12/04 13:24 by ustun