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A topological quantum field theory o...

Cavalieri, Renzo.

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A topological quantum field theory of intersection numbers for moduli spaces of admissible covers.

Record Type:	Electronic resources : Monograph/item
Title/Author:	A topological quantum field theory of intersection numbers for moduli spaces of admissible covers./
Author:	Cavalieri, Renzo.
Description:	90 p.
Notes:	Source: Dissertation Abstracts International, Volume: 66-02, Section: B, page: 0930.
Contained By:	Dissertation Abstracts International66-02B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3164627
ISBN:	9780542003974

A topological quantum field theory of intersection numbers for moduli spaces of admissible covers.
Cavalieri, Renzo.

A topological quantum field theory of intersection numbers for moduli spaces of admissible covers. - 90 p.

Source: Dissertation Abstracts International, Volume: 66-02, Section: B, page: 0930.

Thesis (Ph.D.)--The University of Utah, 2005.

This dissertation studies the intersection theory of moduli spaces of admissible covers. Following a parallel work in Gromov-Witten theory by Jim Bryan and Rahul Pandharipande, we define a natural class of intersection numbers on moduli spaces of admissible covers. We show that they can be organized in the structure of a two-dimensional, two-level weighted Topological Quantum Field Theory. Using techniques of localization, we compute the theory in low degrees, and provide a conjecture for general degree d. We then study two interesting specializations of the theory, where we are able to produce closed formulas for our invariants. These formulas involve characters from the representation theory of the symmetric group Sn, thus opening an interesting perspective for further exploration of the connection between the two theories.

ISBN: 9780542003974Subjects--Topical Terms:

515831
Mathematics.

A topological quantum field theory of intersection numbers for moduli spaces of admissible covers.
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008 130610s2005 eng d
020 $a 9780542003974
035 $a (UnM)AAI3164627
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040 $a UnM $c UnM
100 1 $a Cavalieri, Renzo. $3 1913125
245 1 2 $a A topological quantum field theory of intersection numbers for moduli spaces of admissible covers.
300 $a 90 p.
500 $a Source: Dissertation Abstracts International, Volume: 66-02, Section: B, page: 0930.
500 $a Adviser: Aaron Bertram.
502 $a Thesis (Ph.D.)--The University of Utah, 2005.
520 $a This dissertation studies the intersection theory of moduli spaces of admissible covers. Following a parallel work in Gromov-Witten theory by Jim Bryan and Rahul Pandharipande, we define a natural class of intersection numbers on moduli spaces of admissible covers. We show that they can be organized in the structure of a two-dimensional, two-level weighted Topological Quantum Field Theory. Using techniques of localization, we compute the theory in low degrees, and provide a conjecture for general degree d. We then study two interesting specializations of the theory, where we are able to produce closed formulas for our invariants. These formulas involve characters from the representation theory of the symmetric group Sn, thus opening an interesting perspective for further exploration of the connection between the two theories.
590 $a School code: 0240.
650 4 $a Mathematics. $3 515831
690 $a 0405
710 2 0 $a The University of Utah. $3 1017410
773 0 $t Dissertation Abstracts International $g 66-02B.
790 1 0 $a Bertram, Aaron, $e advisor
790 $a 0240
791 $a Ph.D.
792 $a 2005
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3164627