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This tag is used if a reference is needed in a paper or textbook on a specific result.

4 votes

Distance to a closed set. Is this result known?

I used such results in my thesis on the topology of singularities arising in various optimal transport programs (Sections 4.2-3). Especially useful was the following article of G. Alberti: Alberti, Gi …
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2 votes

Relation between optimal transport cost and difference between topological invariants?

Applications of OT to Algebraic Topology was the subject of my thesis available here https://github.com/jhmartel/Thesis2019 There remains many interesting questions to solve! I found the topology of e …
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1 vote
0 answers
507 views

List of Automorphism groups of Abelian Varieties for Dummies

(%Edited after abx comment%) I seek explicit linear integral representations $\rho: Aut(X,\omega) \to Sp_{2g}(\mathbb{Z})$, when $(X,\omega)$ is complex $g$-dimensional PPAV. I prefer explicit matri …
2 votes

Fundamental groups of noncompact surfaces

A new approach to spines is available via mass transport theory and Kantorovich duality. This is developed in my PhD thesis. The idea is elementary: consider the retract $x\mapsto x/|x|$ from the cl …
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6 votes
3 answers
881 views

Reference request: embedded Morse theory

For references of embedded Morse theory, or so-called relative morse theory of a pair, I have found R.W. Sharpe's "Total Absolute Curvature and Embedded Morse numbers" totally not helpful. For further …
6 votes
Accepted

Belyi functions on non-compact surfaces; or: Building Riemann surfaces from equilateral tria...

As you may possibly already be aware, there is a parallel phenomenon in circle packing riemann surfaces. Those compact riemann surfaces admitting full circle packings are a countable dense subset of …
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