45 citations · 80 across the 3 of their papers we have counts for
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math.GT2014★ 19 cited
Sutured Floer homology and invariants of Legendrian and transverse knots
John B. Etnyre, David Shea Vela-Vick, Rumen Zarev
Using contact-geometric techniques and sutured Floer homology, we present an alternate formulation of the minus and plus version of knot Floer homology. We further show how natural…
math.GT2010★ 16 cited
Joining and gluing sutured Floer homology
Rumen Zarev
We give a partial characterization of bordered Floer homology in terms of sutured Floer homology. The bordered algebra and modules are direct sums of certain sutured Floer complexe…
math.GT2009★ 45 cited
Bordered Floer homology for sutured manifolds
Rumen Zarev
We define a sutured cobordism category of surfaces with boundary and 3-manifolds with corners. In this category a sutured 3-manifold is regarded as a morphism from the empty surfac…