Proper Moduli Spaces for Orthosymplectic Complexes
Research Paper#Algebraic Geometry, Moduli Spaces, Orthosymplectic Complexes🔬 Research|Analyzed: Jan 3, 2026 17:16•
Published: Dec 30, 2025 14:59
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•ArXivAnalysis
This paper addresses the construction of proper moduli spaces for Bridgeland semistable orthosymplectic complexes. This is significant because it provides a potential compactification for moduli spaces of principal bundles related to orthogonal and symplectic groups, which are important in various areas of mathematics and physics. The use of the Alper-Halpern-Leistner-Heinloth formalism is a key aspect of the approach.
Key Takeaways
- •Constructs proper good moduli spaces for moduli stacks of Bridgeland semistable orthosymplectic complexes.
- •Proposes a compactification for moduli spaces of principal bundles for orthogonal and symplectic groups.
- •Applies the Alper-Halpern-Leistner-Heinloth formalism.
- •Provides results on good moduli spaces of fixed point stacks and mapping stacks from finite groupoids.
Reference / Citation
View Original"The paper proposes a candidate for compactifying moduli spaces of principal bundles for the orthogonal and symplectic groups."