Sunday, 8 June 2025
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 his work. He created a simple model. He expressed the model as a figure. He expressed the figure in geometry. Following Kenji Fukaya, he defined geometry as "a pair of a group and the space on which it acts." The appeal of Fukaya's book was that it allowed him to constantly confirm and envision such fundamental things.
He set a geometric "minimum unit of meaning" based on Jakobson's "semantic minimum," and defined a geometric word that encompasses time as its meaning by moving time t in a closed interval. He repeated this direction many times at different levels of geometry.
The universality of language approached the invariants of mathematics. In Fukaya's book, he learned that quantum cohomology rings can be obtained from the Gromov-Witten invariant, and further that Gromov-Witten potentials can be obtained. Language approached mathematics and physics. I was also able to closely examine symmetries, which had always bothered me. At the center of this was the homological mirror symmetry proposed by Kontsevich.
Source: Tale / Print by LI Kohr / 27 January 2012
Reference:
Reference 2:
- Gromov-Witten Invariantational Curve /27 February 2009
- Homology Structure of Word / 16 June 2009
- Potential of Language / 29 April 2009-16 June 2009
References 3:
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