2000/07/26 by Michele Mulazzani, Mulazzani, Michele
Biochemistry, Genetics and Molecular Biology · Mathematics · #20F05 #57M05 #57M12 #57M25 #57R65 #Connective tissue disorders research #FOS: Mathematics #Finite Group Theory Research #Geometric Topology (math.GT) #Geometric and Algebraic Topology #math.GT #msc:20F05 #msc:57M05 #msc:57M12 #msc:57M25 #msc:57R65
paper · pdf · doi:10.48550/arxiv.math/0007162
11 pages, 2 figures, to appear in the Journal of Knot Theory and its Ramifications
arxiv created 2000/07/26 · openalex publication_date 2000/07/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that every p-fold strictly-cyclic branched covering of a b-bridge link in S3 admits a p-symmetric Heegaard splitting - in the sense of Birman and Hilden - of genus g=(b-1)(p-1). This gives a complete converse of one of the results of the two authors. Moreover, we introduce the concept of weakly p-symmetric Heegaard splittings and prove similar results in this more general context.