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Aug 30, 2020 at 17:43 comment added Gunnar Þór Magnússon Oh, someone read my thesis. That’s unexpected.
Aug 30, 2020 at 15:29 comment added Qfwfq I see, thank you for the explanation
Aug 30, 2020 at 14:18 comment added user160903 I spent some months to study Relative Riemann-Hilbert correspondance and its relation to Bridgeland stability conditions on families.
Aug 30, 2020 at 14:11 comment added user160903 Riemann–Hilbert correspondence . See the lecture series of Zoghman in YouTube. You can see also RH correspondance and Bridgeland stability conditions.
Aug 30, 2020 at 13:07 comment added Qfwfq Ok now the answer has been edited. I still think the first two paragraphs may not be particularly on topic (general complex differential geometry rather than specifically connections), but okay, now it's an answer to the OP (or contains one). -- Re the last paragraph, are you referring to complex analytic geometry or "algebraic analysis" in the sense of D-modules etc?
Aug 30, 2020 at 12:37 history edited user160903 CC BY-SA 4.0
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Aug 30, 2020 at 12:19 history edited user160903 CC BY-SA 4.0
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Aug 30, 2020 at 12:15 comment added user160903 See this thesis, theses.fr/2016LIL10170
Aug 30, 2020 at 12:03 history edited user160903 CC BY-SA 4.0
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Aug 30, 2020 at 12:03 comment added Qfwfq How does this answer the question? The OP was specifically asking about connections ($\nabla$), no?
Aug 30, 2020 at 11:58 history answered user160903 CC BY-SA 4.0