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논문특허 2차년도

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  • [논문] Twisted Jacobian algebras as endomorphism algebras of equivariant matrix factorizations

    • 등록일
      2022.09.16
    • 조회수
      207

•연구자: 수학과 이상욱

 

•발표일: 2022.05

 

•DOI: https://doi.org/10.1142/S0129167X22500513

 

•Sangwook Lee, International Journal of Mathematics (Q3), Volume 33, Issue 7, 2250051 (2022)

 

•Abstract

For a polynomial W with an isolated singularity, we can consider the Jacobian ring as an invariant of the singularity. If in addition we have a group action on the polynomial ring with W fixed, we are led to consider the twisted Jacobian ring which reflects the equivariant structure as well. Our main result is to show that the twisted Jacobian ring is isomorphic to an endomorphism ring of the “twisted diagonal”matrix factorization. As an application, we suggest a way to investigate Floer theory of Lagrangian submanifolds which represent homological mirror functors.

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