Satoshi Nawata

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Name Satoshi Nawata
Member for 1 year
Seen 11 hours ago
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Location Waterloo
Age 31
Physicist. Study supersymmetric gauge theories, TQFT, mathematical physics, string theory.
Apr
29
accepted Links which HOMFLY homology distinguish but the HOMFLY polynomial does not.
Apr
29
answered Links which HOMFLY homology distinguish but the HOMFLY polynomial does not.
Apr
2
comment Categorification of WRT invariants of integral homology spheres
Thanks for your comments, Ben. Are the expressions for categorified invariants expected to have all positive integer coefficients? In the paper by Aganagic and Shakirov (arxiv.org/abs/1105.5117), they propose the refined modular S-matrix which is written $M_{R_i}(t^{\rho})M_{R_j}(t^{\rho}q^{R_i})$ where $M_{R}(x_1,\cdots,x_N;q,t)$ is the Macdonald polynomial with highest weight $R$. Naively thinking, this is a nice candidate for what replaces the modular S-matrix.
Apr
2
revised Categorification of WRT invariants of integral homology spheres
added 12 characters in body
Apr
2
asked Categorification of WRT invariants of integral homology spheres
Apr
2
answered Khovanov-Rozansky homology and spectral sequences
Mar
3
comment What is knot contact homology?
Thank you very much for your elaborate answers!
Feb
16
revised Proof of generalized Cauchy formula
edited tags
Feb
16
comment Proof of generalized Cauchy formula
Thank you very much! Although I knew the papers, I have not read the parts you mentioned carefully. It's good to hear from one of the original authors.
Jan
16
asked Proof of generalized Cauchy formula