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Bordered Floer homology with integral coefficients for manifolds with torus boundary
Douglas Knowles, Ina Petkova
We provide a combinatorial definition of a bordered Floer theory with coefficients for manifolds with torus boundary. Our bordered Floer structures recover the combinat…
Khovanov homology and Lagrangian cobordisms
Gage Martin, Ina Petkova, Zachary Winkeler
We provide a partial answer to a question of Ekholm, Honda, and Kálmán about the relationship between Khovanov homology and decomposable Lagrangian cobordisms. We also utilize pr…
Double-point enhanced GRID invariants and Lagrangian cobordisms
Ashton Lewis, Zachary Ojakli, Ina Petkova +1
We define an invariant of Legendrian links in the double-point enhanced grid homology of a link, and prove that it obstructs decomposable Lagrangian cobordisms in the symplectizati…
A Legendrian knot atlas for knots of arc index 10
Ina Petkova, Noah Schwartz
We expand the atlas of Legendrian knots in standard contact three-space to knots of arc index 10.
Spectral GRID invariants and Lagrangian cobordisms
Mitchell Jubeir, Ina Petkova, Noah Schwartz +2
We prove that the filtered GRID invariants of Legendrian links in link Floer homology, and consequently their associated invariants in the spectral sequence, obstruct decomposable…