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Experimental Mathematics Volume 23, 2014 - Issue 1
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Original Articles

The Hilbert Series of a Linear Symplectic Circle Quotient

Hans-Christian HerbigDepartment of Mathematics, University of Vienna, Vienna, Austria
&
Christopher SeatonDepartment of Mathematics and Computer Science, Rhodes College, Memphis, Tennessee, USACorrespondence[email protected]
Pages 46-65 | Published online: 12 Mar 2014

Citations (14)

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Read on this site (2)

Hans-Christian Herbig, Daniel Herden & Christopher Seaton. (2021) The Laurent Coefficients of the Hilbert Series of a Gorenstein Algebra. Experimental Mathematics 30:1, pages 56-75.
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Austin Barringer, Hans-Christian Herbig, Daniel Herden, Saad Khalid, Christopher Seaton & Lawton Walker. Multigraded Hilbert series of invariants, covariants, and symplectic quotients for some rank 1 Lie groups. Communications in Algebra 0:0, pages 1-28.
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Articles from other publishers (12)

Hans-Christian Herbig, Daniel Herden & Christopher Seaton. (2022) Hilbert series of symplectic quotients by the 2-torus. Collectanea Mathematica 74:2, pages 415-442.
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Hans-Christian Herbig, Ethan Lawler & Christopher Seaton. (2020) Constructing symplectomorphisms between symplectic torus quotients. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry 61:4, pages 581-604.
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Pedro de Carvalho Cayres Pinto, Hans-Christian Herbig, Daniel Herden & Christopher Seaton. (2019) The Hilbert series of SL2-invariants. Communications in Contemporary Mathematics 22:07, pages 1950017.
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Hans-Christian Herbig, Daniel Herden & Christopher Seaton. (2020) Hilbert series associated to symplectic quotients by SU2. International Journal of Algebra and Computation 30:07, pages 1323-1357.
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Nikolaos Iakovidis, Jian Qiu, Andreas Rocén & Maxim Zabzine. (2020) 7D supersymmetric Yang-Mills on hypertoric 3-Sasakian manifolds. Journal of High Energy Physics 2020:6.
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Hans-Christian Herbig, Gerald W. Schwarz & Christopher Seaton. (2020) Symplectic quotients have symplectic singularities. Compositio Mathematica 156:3, pages 613-646.
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Suzanne Craig, Naiche Downey, Lucas Goad, Michael J. Mahoney & Jordan Watts. (2019) Orbit spaces of linear circle actions. Involve, a Journal of Mathematics 12:6, pages 941-959.
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L. Emily Cowie, Hans-Christian Herbig, Daniel Herden & Christopher Seaton. (2019) The Hilbert series and a-invariant of circle invariants. Journal of Pure and Applied Algebra 223:1, pages 395-421.
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Christopher Seaton, Hans-Christian Herbig & Joshua Cape. (2016) Symplectic reduction at zero angular momentum. Journal of Geometric Mechanics 8:1, pages 13-34.
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Hans-Christian Herbig, Daniel Herden & Christopher Seaton. (2015) On compositions with 𝑥²/(1-𝑥). Proceedings of the American Mathematical Society 143:11, pages 4583-4596.
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Hans-Christian Herbig, Gerald W. Schwarz & Christopher Seaton. (2015) When is a symplectic quotient an orbifold?. Advances in Mathematics 280, pages 208-224.
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Hans-Christian Herbig & Christopher Seaton. (2015) An Impossibility Theorem for Linear Symplectic Circle Quotients. Reports on Mathematical Physics 75:3, pages 303-331.
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