scholarly journals On the variation of the Poisson structures of certain moduli spaces

2001 ◽  
Vol 319 (2) ◽  
pp. 267-310 ◽  
Author(s):  
Johannes Huebschmann
Keyword(s):  
Moduli Spaces ◽  
Poisson Structures

Symplectic and Poisson structures of certain moduli spaces, I

1995 ◽  
Vol 80 (3) ◽  
pp. 737-756 ◽  
Author(s):  
Johannes Huebschmann
Keyword(s):  
Moduli Spaces ◽  
Poisson Structures

scholarly journals Comparison of Poisson structures on moduli spaces

2021 ◽  
Author(s):  
Indranil Biswas ◽  
Francesco Bottacin ◽  
Tomás L. Gómez
Keyword(s):  
Moduli Space ◽  
Moduli Spaces ◽  
Poisson Structures ◽  
Projective Curve ◽  
Smooth Projective Curve ◽  
Algebraic Vector ◽  
Pure Dimension ◽  
Stable Sheaves ◽  
Fixed Rank ◽  
Dimension One

AbstractLet X be a complex irreducible smooth projective curve, and let $${{\mathbb {L}}}$$ L be an algebraic line bundle on X with a nonzero section $$\sigma _0$$ σ 0 . Let $${\mathcal {M}}$$ M denote the moduli space of stable Hitchin pairs $$(E,\, \theta )$$ ( E , θ ) , where E is an algebraic vector bundle on X of fixed rank r and degree $$\delta $$ δ , and $$\theta \, \in \, H^0(X,\, {\mathcal {E}nd}(E)\otimes K_X\otimes {{\mathbb {L}}})$$ θ ∈ H 0 ( X , E n d ( E ) ⊗ K X ⊗ L ) . Associating to every stable Hitchin pair its spectral data, an isomorphism of $${\mathcal {M}}$$ M with a moduli space $${\mathcal {P}}$$ P of stable sheaves of pure dimension one on the total space of $$K_X\otimes {{\mathbb {L}}}$$ K X ⊗ L is obtained. Both the moduli spaces $${\mathcal {P}}$$ P and $${\mathcal {M}}$$ M are equipped with algebraic Poisson structures, which are constructed using $$\sigma _0$$ σ 0 . Here we prove that the above isomorphism between $${\mathcal {P}}$$ P and $${\mathcal {M}}$$ M preserves the Poisson structures.

scholarly journals Smoothness and Poisson structures of Bridgeland moduli spaces on Poisson surfaces

2018 ◽  
Vol 291 (1-2) ◽  
pp. 437-447
Author(s):  
Chunyi Li ◽  
Xiaolei Zhao
Keyword(s):  
Moduli Spaces ◽  
Poisson Structures

scholarly journals Poisson structures on moduli spaces of representations

2011 ◽  
Vol 325 (1) ◽  
pp. 205-215 ◽  
Author(s):  
William Crawley-Boevey
Keyword(s):  
Moduli Spaces ◽  
Poisson Structures

scholarly journals Shifted Poisson structures and moduli spaces of complexes

2018 ◽  
Vol 338 ◽  
pp. 991-1037 ◽  
Author(s):  
Zheng Hua ◽  
Alexander Polishchuk
Keyword(s):  
Moduli Spaces ◽  
Poisson Structures

Poisson structures on moduli spaces¶of parabolic bundles on surfaces

2000 ◽  
Vol 103 (1) ◽  
pp. 31-46 ◽  
Author(s):  
Francesco Bottacin
Keyword(s):  
Moduli Spaces ◽  
Poisson Structures ◽  
Parabolic Bundles
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