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The boundary of an affine invariant subm...

Mirzakhani, Maryam...

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The boundary of an affine invariant submanifold by Mirzakhani, Maryam ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	01-01-2015
Summary	We study the boundary of an affine invariant submanifold of a stratum of translation surfaces in a partial compactification consisting of all finite area Abelian differentials over nodal Riemann surfaces, modulo zero area components. The main result is a formula for the tangent space to the boundary. We also prove finiteness results concerning cylinders, a partial converse to the Cylinder Deformation Theorem, and a result generalizing part of the Veech dichotomy.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	http://arxiv.org/abs/1508.01446

Citation

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AMA 11th EditionReferences

Mirzakhani, Maryam. The boundary of an affine invariant submanifold. N.A. January 01, 2015. Accessed August 19, 2025. https://online.provdatabase.com/cite/18864

APA 7th EditionReferences

Mirzakhani, Maryam. (2015). The boundary of an affine invariant submanifold. N.A. https://online.provdatabase.com/cite/18864

Chicago 17th EditionReferences

Mirzakhani, Maryam. The boundary of an affine invariant submanifold. N.A. 2015. https://online.provdatabase.com/cite/18864

HarvardReferences

Mirzakhani, Maryam. (2015). The boundary of an affine invariant submanifold. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18864. (Accessed 19 August 2025).

Harvard AustraliaReferences

Mirzakhani, Maryam, 2015, The boundary of an affine invariant submanifold, N.A, viewed 19 August 2025, <https://online.provdatabase.com/cite/18864>

MLA 9th EditionWorks Cited

Mirzakhani, Maryam. The boundary of an affine invariant submanifold. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18864.

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