Strong Lefschetz property under reduction

River Chiang; Eugene Z. Xia

doi:10.1007/s11856-009-0118-6

Strong Lefschetz property under reduction

River Chiang, Eugene Z. Xia

Department of Mathematics

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

Abstract

Let n > 1 and G be the group SU(n) or Sp(n). This paper constructs compact symplectic manifolds whose symplectic quotient under a Hamiltonian G-action does not inherit the strong Lefschetz property.

Original language	English
Pages (from-to)	369-380
Number of pages	12
Journal	Israel Journal of Mathematics
Volume	174
Issue number	1
DOIs	https://doi.org/10.1007/s11856-009-0118-6
Publication status	Published - 2009 Nov

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1007/s11856-009-0118-6

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title = "Strong Lefschetz property under reduction",

abstract = "Let n > 1 and G be the group SU(n) or Sp(n). This paper constructs compact symplectic manifolds whose symplectic quotient under a Hamiltonian G-action does not inherit the strong Lefschetz property.",

author = "River Chiang and Xia, {Eugene Z.}",

note = "Funding Information: Chiang is partially supported by NSC grant 95-2115-M-006-018. Both authors are partially supported by the National Center for Theoretical Sciences (South), Taiwan. † Xia is partially supported by NSC grants 94-2115-M-006-001 and 95-2115-M-006-002.",

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doi = "10.1007/s11856-009-0118-6",

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AU - Xia, Eugene Z.

N1 - Funding Information: Chiang is partially supported by NSC grant 95-2115-M-006-018. Both authors are partially supported by the National Center for Theoretical Sciences (South), Taiwan. † Xia is partially supported by NSC grants 94-2115-M-006-001 and 95-2115-M-006-002.

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N2 - Let n > 1 and G be the group SU(n) or Sp(n). This paper constructs compact symplectic manifolds whose symplectic quotient under a Hamiltonian G-action does not inherit the strong Lefschetz property.

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Strong Lefschetz property under reduction

Abstract

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