Schubert defects in Lagrangian Grassmannians
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1.
Zhejiang University
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2.
Virginia Tech
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3.
California Institute of Technology
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4.
Fudan University
Abstract
In this paper, we propose a construction of GLSM defects corresponding to Schubert cycles in Lagrangian Grassmannians, following recent work of Closset-Khlaif on Schubert cycles in ordinary Grassmannians. In the case of Lagrangian Grassmannians, there are superpotential terms in both the bulk GLSM as well as on the defect itself, enforcing isotropy constraints. We check our construction by comparing the locus on which the GLSM defect is supported to mathematical descriptions, checking dimensions, and perhaps most importantly, comparing defect indices to known and expected polynomial invariants of the Schubert cycles in quantum cohomology and quantum K theory.
Copyright and License
© The Authors. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Article funded by SCOAP3.
Acknowledgement
We would like to thank C. Closset for useful conversations. E.S. was partially supported by NSF grant PHY-2310588. H.Z. was partially supported by the National Natural Science Foundation of China (Grant No. 12405083, 12475005) and the Shanghai Magnolia Talent Program Pujiang Project (Grant No. 24PJA119). L.M. was partially supported by NSF grant DMS-2152294, and gratefully acknowledges the support of Charles Simonyi Endowment, which provided funding for the membership at the Institute of Advanced Study during the 2024-25 Special Year in ‘Algebraic and Geometric Combinatorics’.
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Additional details
Related works
- Is new version of
- Discussion Paper: arXiv:2502.04438 (arXiv)
Funding
- National Science Foundation
- PHY-2310588
- National Natural Science Foundation of China
- 12405083
- National Natural Science Foundation of China
- 12475005
- Science and Technology Commission of Shanghai Municipality
- Shanghai Magnolia Talent Program Pujiang Project 24PJA119
- National Science Foundation
- DMS-2152294
- SCOAP3
Dates
- Accepted
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2025-05-14
- Available
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2025-06-13Published