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A Generalized Connected Sum Construc...
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Galt, Dylan,
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A Generalized Connected Sum Construction for Compact Coassociative Four-Folds /
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
A Generalized Connected Sum Construction for Compact Coassociative Four-Folds // Dylan Galt.
作者:
Galt, Dylan,
面頁冊數:
1 electronic resource (201 pages)
附註:
Source: Dissertations Abstracts International, Volume: 86-11, Section: B.
Contained By:
Dissertations Abstracts International86-11B.
標題:
Mathematics. -
電子資源:
https://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=32043177
ISBN:
9798315764120
A Generalized Connected Sum Construction for Compact Coassociative Four-Folds /
Galt, Dylan,
A Generalized Connected Sum Construction for Compact Coassociative Four-Folds /
Dylan Galt. - 1 electronic resource (201 pages)
Source: Dissertations Abstracts International, Volume: 86-11, Section: B.
We develop a gluing construction to resolve the transverse intersection of two compact coassociative submanifolds of a smooth 7-manifold equipped with a closed G2 structure. Our construction involves resolving the intersection circles by gluing in one-parameter families of a class of asymptotically conical special Lagrangians known as Lawlor necks. We also study the topology of transverse pairs of coassociative submanifolds. In certain cases, we discover that there is invariant of such pairs and we study its properties.
English
ISBN: 9798315764120Subjects--Topical Terms:
515831
Mathematics.
Subjects--Index Terms:
Calibrated geometry
A Generalized Connected Sum Construction for Compact Coassociative Four-Folds /
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We develop a gluing construction to resolve the transverse intersection of two compact coassociative submanifolds of a smooth 7-manifold equipped with a closed G2 structure. Our construction involves resolving the intersection circles by gluing in one-parameter families of a class of asymptotically conical special Lagrangians known as Lawlor necks. We also study the topology of transverse pairs of coassociative submanifolds. In certain cases, we discover that there is invariant of such pairs and we study its properties.
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