SRFL News: From Gromov-Witten invariant to quantum cohomology ring and Gromov-Witten potential, in the centre considered homological mirror symmetry

Saturday 20 April 2024

From Gromov-Witten invariant to quantum cohomology ring and Gromov-Witten potential, in the centre considered homological mirror symmetry

From Author;

This essay is translated by Google.

So there seem ambiguous expressions in the sentences
I beg your pardon.

From Print 2012, Chapter 15
He considered the direction of his work. Create a concise model. The model is represented graphically. Figures are expressed geometrically. Following Kenji Fukaya, geometry was defined as "a set of groups and the spaces in which they act." The appeal of Fukaya's books was that they allowed us to constantly check and look at fundamental things like this.

By referring to Jacobson's "semantic minimum" and setting a geometric "minimum unit of meaning" meaning minimum, and moving time t in a closed interval, we can create a geometric concept that encompasses time as meaning. Defined the word. He repeated this direction many times, at different geometric levels.

The universality of language approaches the invariant of mathematics. I learned from Fukaya's book that a quantum cohomology ring can be obtained from a Gromov-Witten invariant, and a Gromov-Witten potential can also be obtained. Language has become closer to mathematics and physics. Symmetry, which has long been a concern, can now be precisely inspected. At the centre of this was Koncewicz's homological mirror symmetry.