3 papers
math.GT2025
Degree-1 maps and rank inequalities in Heegaard Floer homology
Fraser Binns, Sudipta Ghosh
Ghosh-Sivek-Zentner constructed degree-1 maps from certain rational homology solid tori to the twisted -bundle over the Klein bottle. We show that these maps yield rank inequali…
math.GT2024
Studying links via booklinks: A Markov theorem
Roman Aranda, Fraser Binns, Margaret Doig
We introduce "book links" as a generalization of braids in open book decompositions; this new class of objects includes both braids and plats as special cases. We then prove a vers…
math.GT2024
Is the geography of Heegaard Floer homology restricted or the -space conjecture false?
Antonio Alfieri, Fraser Binns
In a recent note F. Lin showed that if a rational homology sphere admits a taut foliation then the Heegaard Floer module contains a copy of as a sum…