Morse complexity vanishes for odd-dimensional homology classes, is governed by higher signatures in even dimensions, and is positive for locally symmetric spaces with discrete series, forbidding open book decompositions.
Title resolution pending
1 Pith paper cite this work, alongside 4 external citations. Polarity classification is still indexing.
1
Pith paper citing it
4
external citations · OpenAlex
fields
math.GT 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Morse complexity of homology classes
Morse complexity vanishes for odd-dimensional homology classes, is governed by higher signatures in even dimensions, and is positive for locally symmetric spaces with discrete series, forbidding open book decompositions.