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Generalized complex structures on 4-...

Chen, Haojie.

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Generalized complex structures on 4-manifolds.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Generalized complex structures on 4-manifolds./
作者:	Chen, Haojie.
面頁冊數:	79 p.
附註:	Source: Dissertation Abstracts International, Volume: 74-10(E), Section: B.
Contained By:	Dissertation Abstracts International74-10B(E).
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3567409
ISBN:	9781303192142

Generalized complex structures on 4-manifolds.
Chen, Haojie.

Generalized complex structures on 4-manifolds. - 79 p.

Source: Dissertation Abstracts International, Volume: 74-10(E), Section: B.

Thesis (Ph.D.)--University of Minnesota, 2013.

We study the existence of generalized complex structures on closed smooth four-manifolds in this thesis. We first prove an integrability theorem of generalized complex structures in terms of almost bihermitian structures. After reviewing the results of type zero and type two generalized complex structures, we prove the necessary and sufficient topological conditions for the existence of type one generalized complex structures on compact four-manifolds. We also obtain a nonexistence result of T2 -invariant untwisted generalized complex structures with mixed types on the four torus T4 . Finally, we prove a result about finite group actions on tamed almost complex four-manifolds.

ISBN: 9781303192142Subjects--Topical Terms:

515831
Mathematics.

Generalized complex structures on 4-manifolds.
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520 $a We study the existence of generalized complex structures on closed smooth four-manifolds in this thesis. We first prove an integrability theorem of generalized complex structures in terms of almost bihermitian structures. After reviewing the results of type zero and type two generalized complex structures, we prove the necessary and sufficient topological conditions for the existence of type one generalized complex structures on compact four-manifolds. We also obtain a nonexistence result of T2 -invariant untwisted generalized complex structures with mixed types on the four torus T4 . Finally, we prove a result about finite group actions on tamed almost complex four-manifolds.
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