2d TQFT (“TCFT”) | coefficients | algebra structure on space of quantum states | |
---|---|---|---|
open topological string | Vect | Frobenius algebra | folklore+(Abrams 96) |
open topological string with closed string bulk theory | Vect | Frobenius algebra with trace map and Cardy condition | (Lazaroiu 00, Moore-Segal 02) |
non-compact open topological string | Ch(Vect) | Calabi-Yau A-∞ algebra | (Kontsevich 95, Costello 04) |
non-compact open topological string with various D-branes | Ch(Vect) | Calabi-Yau A-∞ category | “ |
non-compact open topological string with various D-branes and with closed string bulk sector | Ch(Vect) | Calabi-Yau A-∞ category with Hochschild cohomology | “ |
local closed topological string | 2Mod(Vect) over field | separable symmetric Frobenius algebras | (SchommerPries 11) |
non-compact local closed topological string | 2Mod(Ch(Vect)) | Calabi-Yau A-∞ algebra | (Lurie 09, section 4.2) |
non-compact local closed topological string | 2Mod for a symmetric monoidal (∞,1)-category | Calabi-Yau object in | (Lurie 09, section 4.2) |
Last revised on November 17, 2014 at 17:37:22. See the history of this page for a list of all contributions to it.