For orientable surfaces of genus at least one, adding n points continuously to an m-point configuration is possible only if n is a multiple of m plus twice the genus minus two when m is at least two; for m equal to one it is always possible.
Exact sequences, lower central series and representations of surface braid groups
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We consider exact sequences and lower central series of surface braid groups and we explain how they can prove to be useful for obtaining representations for surface braid groups. In particular, using a completely algebraic framework, we describe the notion of extension of a representation introduced and studied recently by An and Ko and independently by Blanchet.
fields
math.GT 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
On sections of configurations of points on orientable surfaces
For orientable surfaces of genus at least one, adding n points continuously to an m-point configuration is possible only if n is a multiple of m plus twice the genus minus two when m is at least two; for m equal to one it is always possible.