16 citations · 66 across the 22 of their papers we have counts for
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math.SG2012
Contact topology and holomorphic invariants via elementary combinatorics
Daniel V. Mathews
In recent times a great amount of progress has been achieved in symplectic and contact geometry, leading to the development of powerful invariants of 3-manifolds such as Heegaard F…
math.SG2012★ 4 cited
Dimensionally-reduced sutured Floer homology as a string homology
Daniel V. Mathews, Eric Schoenfeld
We show that the sutured Floer homology of a sutured 3-manifold of the form can be expressed as the homology of a string-type complex, generated by…
math.SG2012★ 10 cited
Itsy bitsy topological field theory
Daniel V. Mathews
We construct an elementary, combinatorial kind of topological quantum field theory, based on curves, surfaces, and orientations. The construction derives from contact invariants in…