Math and physics proceed from assumptions to conclusions via a logical path. Artificial intelligence possesses the ability to follow logic, herein specifically applied to the problem of defining ontologically real 2D ...
supported by the China Post-doctoral Science Foundation(Grant Nos.BX2021269 and 2021M702925);supported by National Key Research and Development Program of China(Grant No.2020YFA0713200);supported by NSF Research Grants(Nos.DMS-1801851 and DMS-1952522);by a grant from the Simons Foundation(Award Number:256202).
In this paper,we study the theory of complements,introduced by Shokurov,for Calabi-Yau type varieties with the coefficient set[0,1].We show that there exists afinite set of positive integers N,such that if a threefold p...
A theory of quantum gravity has recently been developed by the author based on the concept that all forces converge to one at the moment of Creation. This primordial field can only interact with itself, as no other fi...
supported by the National Natural Science Foundation of China(No.12061014).
Using Hodge theory and Banach fixed point theorem,Liu and Zhu developed a global method to deal with various problems in deformation theory.In this note,the authors generalize Liu-Zhu's method to treat two deformation...
Quantum field theory creates fermions via abstract operators exciting abstract fields, with a specific field for each type of specific particle. This operator algebra lends itself well to quantum statistics, neverthel...
We consider the existence of cluster-tilting objects in a d-cluster category such that its endomorphism algebra is self-injective,and also the properties for cluster-tilting objects in d-cluster categories.We get the ...
Supported by Hong Kong GRF16301515,GRF16301717,GRF16304119 and GRF16306222。
This is a survey of using NMSP method to study higher genus Gromov-Witten invariants of Calabi-Yau quintics.It emphasizes on how and why the various methods are introduced to solve several important conjectures for hi...
The latter half of the twentieth century yielded two tools of unprecedented power, both of which took decades to mature to their current states. The purpose of this research is to apply these to a theory of gravity an...
supported in parts by the National Natural Science Foundation of China(Grants No.11947301 and No.12047502)
Recently,a novel bootstrap method for numerical calculations in matrix models and quantum mechanical systems was proposed.We apply the method to certain quantum mechanical systems derived from some well-known local to...