For positive braids with full Demazure product, the ruling, weave, Deodhar, and sheaf decompositions of the associated variety coincide, and cluster variables can be computed from Morse complex sequences.
[EHK16] Tobias Ekholm, Ko Honda, and Tamás Kálmán
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.SG 1years
2025 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
Decompositions of augmentation varieties via weaves and rulings
For positive braids with full Demazure product, the ruling, weave, Deodhar, and sheaf decompositions of the associated variety coincide, and cluster variables can be computed from Morse complex sequences.