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Heterotic Chen-Ruan cohomology.

Manion, Ryan.

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Heterotic Chen-Ruan cohomology.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Heterotic Chen-Ruan cohomology./
作者:	Manion, Ryan.
面頁冊數:	99 p.
附註:	Source: Dissertation Abstracts International, Volume: 75-09(E), Section: B.
Contained By:	Dissertation Abstracts International75-09B(E).
標題:	Mathematics. -
電子資源:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3622102
ISBN:	9781303936838

Heterotic Chen-Ruan cohomology.
Manion, Ryan.

Heterotic Chen-Ruan cohomology. - 99 p.

Source: Dissertation Abstracts International, Volume: 75-09(E), Section: B.

Thesis (Ph.D.)--University of Pennsylvania, 2014.

We extend the construction of the Chen-Ruan cohomology in the setting of heterotic string theory. We show that it properly reduces to the Chen-Ruan cohomology in the case where the gauge bundle E is chosen to be the tangent bundle TX and examine its basic properties, followed by demonstrating nontrivial examples and computations. The second portion of this work examines the extension of the anomaly cancellation condition for gerbes through an extended example. Namely, we use Fourier-Mukai transforms and the methods of [Donagi-Pantev 04] to set up a construction of bundles over a gerbe which should be non-anomalous.

ISBN: 9781303936838Subjects--Topical Terms:

515831
Mathematics.

Heterotic Chen-Ruan cohomology.
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520 $a We extend the construction of the Chen-Ruan cohomology in the setting of heterotic string theory. We show that it properly reduces to the Chen-Ruan cohomology in the case where the gauge bundle E is chosen to be the tangent bundle TX and examine its basic properties, followed by demonstrating nontrivial examples and computations. The second portion of this work examines the extension of the anomaly cancellation condition for gerbes through an extended example. Namely, we use Fourier-Mukai transforms and the methods of [Donagi-Pantev 04] to set up a construction of bundles over a gerbe which should be non-anomalous.
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