Algebraic cobordism of filtered vector bundles on varieties: Notes on a work of Lee and Pandharipande
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
Penulis (3)
Chien‐Hao Liu
Yu-jong Tzeng
S. Yau
Akses Cepat
PDF tidak tersedia langsung
Cek di sumber asli →- Tahun Terbit
- 2011
- Bahasa
- en
- Total Sitasi
- 2×
- Sumber Database
- Semantic Scholar
- Akses
- Open Access ✓