The classifying space of hBord_2 is rationally equivalent to a circle, while B(hBord_2^{χ≤0}) has rational homotopy groups containing the homology of all moduli spaces of tropical curves Δ_g as a summand, via positive boundary surgery on labelled cospan categories.
A unique decomposition theorem for 3-manifolds
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AT 1years
2021 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
The surface category and tropical curves
The classifying space of hBord_2 is rationally equivalent to a circle, while B(hBord_2^{χ≤0}) has rational homotopy groups containing the homology of all moduli spaces of tropical curves Δ_g as a summand, via positive boundary surgery on labelled cospan categories.