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research:main [2019/12/04 13:24]
ustun
research:main [2019/12/10 16:51] (current)
ustun
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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 their calibrated submanifolds (which are volume minimizing submanifolds of dimension 3 in $G_2$ case or 4 in Spin(7) case) and interactions with other geometric structures (e.g. contact structures). 
 +I am also interested in Seiberg-Witten theory, low dimensional topology and applications of algebraic geometry ​and algebraic topology ​to these problems.
  
-===== 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://​doi.org/​10.1016/​j.jalgebra.2019.11.035|1) On the Complex Cayley Grassmannian]],​ Journal of Algebra 547 (2020) 519-537 
 + 
 +==== Preprints ​==== 
 + 
 +[[https://​arxiv.org/​abs/​1804.09951|2) (with S. Akbulut) Complex $G_2$ manifolds and Seiberg-Witten Equations]]
  
-[[https://​arxiv.org/​abs/​1711.05169|1) On the Complex Cayley Grassmannian]] (Accepted for publication by Journal of Algebra) 
  
research/main.1575465846.txt.gz · Last modified: 2019/12/04 13:24 by ustun