Matthew Hogancamp

activity

20122025

most citedIdempotents in triangulated monoidal categories

9 citations · 17 across the 13 of their papers we have counts for

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Showing 2017 · math.GTShow all

3 papers · 2 filters

math.GT2017

Hilbert schemes and $y$ -ification of Khovanov-Rozansky homology

Eugene Gorsky, Matthew Hogancamp

We define a deformation of the triply graded Khovanov-Rozansky homology of a link $L$ depending on a choice of parameters $y_{c}$ for each component of $L$ , which satisfies link-spli…

math.GT2017★ 4 cited

An involutive upsilon knot invariant

Matthew Hogancamp, Charles Livingston

Using the theory of involutive Heegaard Floer knot theory developed by Hendricks-Manolescu, we define two involutive analogs of the Upsilon knot concordance invariant of Ozsvath-St…

math.GT2017

Khovanov-Rozansky homology and higher Catalan sequences

Matthew Hogancamp

We give a simple recursion which computes the triply graded Khovanov-Rozansky homology of several infinite families of knots and links, including the $(n, nm \pm 1)$ and $(n, nm)$ tor…

Hilbert schemes and y-ification of Khovanov-Rozansky homology

An involutive upsilon knot invariant

Khovanov-Rozansky homology and higher Catalan sequences

Hilbert schemes and $y$ -ification of Khovanov-Rozansky homology