arXiv Open Access 2011

Algebraic cobordism of filtered vector bundles on varieties: Notes on a work of Lee and Pandharipande

Chien-Hao Liu Yu-jong Tzeng Shing-Tung Yau

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Abstrak

The construction of double point cobordism groups of vector bundles on varieties in the work [Lee-P] (arXiv:1002.1500 [math.AG]) of Yuan-Pin Lee and Rahul Pandharipande gives immediately double point cobordism groups of filtered vector bundles on varieties. We note also that among the four basic operations -- direct sum, tensor product, dual, and Hom -- on vector bundles on varieties, only taking dual is compatible with double point cobordisms of vector bundles on varieties in general, by a demonstration on an example of vector bundles on Calabi-Yau 3-folds. A question on refined and/or higher algebraic cobordisms of vector bundles on varieties is posed in the end.

Topik & Kata Kunci

math.AG hep-th math.SG

Penulis (3)

Chien-Hao Liu

Yu-jong Tzeng

Shing-Tung Yau

Format Sitasi

APA MLA BibTeX

Liu, C., Tzeng, Y., Yau, S. (2011). Algebraic cobordism of filtered vector bundles on varieties: Notes on a work of Lee and Pandharipande. https://arxiv.org/abs/1104.0280

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Informasi Jurnal

Tahun Terbit: 2011
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓