Heegaard Floer homology is combinatorially computable, but it is still unknown for many
–manifolds,
especially for
of hyperbolic manifolds. We conduct some computations by utilizing the link surgery
formula of Manolescu and Ozsváth. Using nice diagrams and algebraic methods, we show
that
and
–invariants of
surgeries on a
–bridge
link
are determined only by the homotopy type of the
,
where the maps in surgery complex by counting triangles are
algebraically determined. Thus, this leads to a practical polynomial time
algorithm. Using this algorithm, we calculate some examples explicitly:
and the
–invariants
of all integer surgeries on a family of hyperbolic two-bridge links including the
Whitehead link.
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