On equivariant mirror symmetry for local ℙ2

Brian Forbes; Masao Jinzenji

doi:10.4310/CNTP.2007.v1.n4.a5

On equivariant mirror symmetry for local ℙ²

Brian Forbes, Masao Jinzenji

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We solve the problem of equivariant mirror symmetry for K_ℙ2 = O(-3) → ℙ² for the (three) cases of one independent equivariant parameter. This gives a decomposition of mirror symmetry for K_ℙ2 into that of three subspaces, each of which may be considered independently. Finally, we give a new interpretation of mirror symmetry for O(k) ⊕ O(-2 - k) → ℙ¹.

Original language	English
Pages (from-to)	729-760
Number of pages	32
Journal	Communications in Number Theory and Physics
Volume	1
Issue number	4
DOIs	https://doi.org/10.4310/CNTP.2007.v1.n4.a5
Publication status	Published - Dec 2007
Externally published	Yes

ASJC Scopus subject areas

Algebra and Number Theory
Mathematical Physics
Physics and Astronomy(all)

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10.4310/CNTP.2007.v1.n4.a5

Cite this

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title = "On equivariant mirror symmetry for local ℙ2",

abstract = "We solve the problem of equivariant mirror symmetry for Kℙ2 = O(-3) → ℙ2 for the (three) cases of one independent equivariant parameter. This gives a decomposition of mirror symmetry for Kℙ2 into that of three subspaces, each of which may be considered independently. Finally, we give a new interpretation of mirror symmetry for O(k) ⊕ O(-2 - k) → ℙ1.",

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AB - We solve the problem of equivariant mirror symmetry for Kℙ2 = O(-3) → ℙ2 for the (three) cases of one independent equivariant parameter. This gives a decomposition of mirror symmetry for Kℙ2 into that of three subspaces, each of which may be considered independently. Finally, we give a new interpretation of mirror symmetry for O(k) ⊕ O(-2 - k) → ℙ1.

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On equivariant mirror symmetry for local ℙ²

Abstract

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