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Heterotic Chen-Ruan cohomology.

Manion, Ryan.

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Heterotic Chen-Ruan cohomology.

Record Type:	Electronic resources : Monograph/item
Title/Author:	Heterotic Chen-Ruan cohomology./
Author:	Manion, Ryan.
Description:	99 p.
Notes:	Source: Dissertation Abstracts International, Volume: 75-09(E), Section: B.
Contained By:	Dissertation Abstracts International75-09B(E).
Subject:	Mathematics. -
Online resource:	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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100 1 $a Manion, Ryan. $3 3185248
245 1 0 $a Heterotic Chen-Ruan cohomology.
300 $a 99 p.
500 $a Source: Dissertation Abstracts International, Volume: 75-09(E), Section: B.
500 $a Advisers: Tony G. Pantev; David Harbater.
502 $a Thesis (Ph.D.)--University of Pennsylvania, 2014.
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.
590 $a School code: 0175.
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical physics. $3 2144760
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710 2 $a University of Pennsylvania. $b Mathematics. $3 2101086
773 0 $t Dissertation Abstracts International $g 75-09B(E).
790 $a 0175
791 $a Ph.D.
792 $a 2014
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3622102