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Geometric study of the category of m...

Yu, Xuan.

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Geometric study of the category of matrix factorizations.

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Geometric study of the category of matrix factorizations./
作者:	Yu, Xuan.
面頁冊數:	87 p.
附註:	Source: Dissertation Abstracts International, Volume: 74-11(E), Section: B.
Contained By:	Dissertation Abstracts International74-11B(E).
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3588427
ISBN:	9781303264740

Geometric study of the category of matrix factorizations.
Yu, Xuan.

Geometric study of the category of matrix factorizations. - 87 p.

Source: Dissertation Abstracts International, Volume: 74-11(E), Section: B.

Thesis (Ph.D.)--The University of Nebraska - Lincoln, 2013.

We study the geometry of matrix factorizations in this dissertation. It contains two parts. The first one is a Chern-Weil style construction for the Chern character of matrix factorizations; this allows us to reproduce the Chern character in an explicit, understandable way. Some basic properties of the Chern character are also proved (via this construction) such as functoriality and that it determines a ring homomorphism from the Grothendieck group of matrix factorizations to its Hochschild homology. The second part is a reconstruction theorem of hypersurface singularities. This is given by applying a slightly modified version of Balmer's tensor triangular geometry to the homotopy category of matrix factorizations.

ISBN: 9781303264740Subjects--Topical Terms:

515831
Mathematics.

Geometric study of the category of matrix factorizations.
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500 $a Source: Dissertation Abstracts International, Volume: 74-11(E), Section: B.
500 $a Adviser: Mark E. Walker.
502 $a Thesis (Ph.D.)--The University of Nebraska - Lincoln, 2013.
520 $a We study the geometry of matrix factorizations in this dissertation. It contains two parts. The first one is a Chern-Weil style construction for the Chern character of matrix factorizations; this allows us to reproduce the Chern character in an explicit, understandable way. Some basic properties of the Chern character are also proved (via this construction) such as functoriality and that it determines a ring homomorphism from the Grothendieck group of matrix factorizations to its Hochschild homology. The second part is a reconstruction theorem of hypersurface singularities. This is given by applying a slightly modified version of Balmer's tensor triangular geometry to the homotopy category of matrix factorizations.
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856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3588427