کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4657628 | 1343998 | 2008 | 52 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Quantum D-modules and generalized mirror transformations
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کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Quantum D-modules and generalized mirror transformations Quantum D-modules and generalized mirror transformations](/preview/png/4657628.png)
چکیده انگلیسی
In the previous paper [Hiroshi Iritani, Quantum D-modules and equivariant Floer theory for free loop spaces, Math. Z. 252 (3) (2006) 577-622], the author defined equivariant Floer cohomology for a complete intersection in a toric variety and showed that it is isomorphic to the small quantum D-module after a mirror transformation when the first Chern class c1(M) of the tangent bundle is nef. In this paper, even when c1(M) is not nef, we show that the equivariant Floer cohomology reconstructs the big quantum D-module under certain conditions on the ambient toric variety. The proof is based on a mirror theorem of Coates and Givental [T. Coates, A.B. Givental, Quantum Riemann - Roch, Lefschetz and Serre, Ann. of Math. (2) 165 (1) (2007) 15-53]. The reconstruction procedure here gives a generalized mirror transformation first observed by Jinzenji in low degrees [Masao Jinzenji, On the quantum cohomology rings of general type projective hypersurfaces and generalized mirror transformation, Internat. J. Modern Phys. A 15 (11) (2000) 1557-1595; Masao Jinzenji, Co-ordinate change of Gauss-Manin system and generalized mirror transformation, Internat. J. Modern Phys. A 20 (10) (2005) 2131-2156].
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology - Volume 47, Issue 4, September 2008, Pages 225-276
Journal: Topology - Volume 47, Issue 4, September 2008, Pages 225-276
نویسندگان
Hiroshi Iritani,