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0111 · Jan 200419922001200920182026
5 results for quasi-inverse

Two new equivalences found between Lie supergroups and super Harish-Chandra pairs.

problem Establishing a new equivalence between Lie supergroups and super Harish-Chandra pairs.
method Two new functors Ψ^circ and Ψ^e that construct a Lie supergroup from a super Harish-Chandra pair.
result Both Ψ^circ and Ψ^e are quasi-inverse to the natural functor Φ from Lie supergroups to super Harish-Chandra pairs.

We give a combinatorial proof of the quasi-invertibility of CFDD^(IZ)\widehat{CFDD}(\mathbb{I}_\mathcal{Z}) in bordered Heegaard Floer homology, which implies a Koszul self-duality on the dg-algebra A(Z)\mathcal{A}(\mathcal{Z}), for each pointed matched circle Z\mathcal{Z}. This is done by giving an explicit description of a r…

2014-03-25abs ↗pdf ↗

The abstract constructs equivalences between complex Clifford modules and Lipschitz structures.

problem Classifying pseudo-Riemannian manifolds with specific structures.
method Mutually quasi-inverse equivalences between bundles of complex Clifford modules and reduced complex Lipschitz structures.
result A manifold admits a bundle of irreducible complex Clifford modules if it has a specific structure.

Orbifold uniformization of complex algebraic variety via polystable parabolic Higgs bundle

problem Uniformizing complex algebraic varieties using parabolic Higgs bundles
method Constructing a faithful monodromy representation and a period map
result Identifying orbifold toroidal compactification with canonical orbifold toroidal compactification