Tuesday 23 August 2022

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

 Tuesday, 23 August 2022

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


From Print 2012, Chapter 15


He considered the direction of work. Create a simple model. The model is graphically represented. Figures are represented by geometry. Geometry follows Kenji Fukaya as ``a group and the space in which it acts''. The appeal of Fukaya's books is that you can always confirm and look at such fundamental things.

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

The universality of language has approached the invariant of mathematics. From Fukaya's book, I learned that the quantum cohomology ring can be obtained from the Gromov-Witten invariant, and the Gromov-Witten potential can be obtained. Language approached mathematics and physics. It has become possible to precisely check symmetry, which has long been a concern. At its center was the homological mirror symmetry by Kontsevich.


Source: Tale / Print by LI Kohr / 27 January 2012 

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