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توپولوژی ریسمانی و اپرد ها
اکرمی، مهدی Akrami, Mahdi
- Type of Document: M.Sc. Thesis
- Language: Farsi
- Document No: 47918 (02)
- University: Sharif University of Technology
- Department: Mathematical Sciences
- Advisor(s): Jafari, Amir
- Abstract:
- Let M be a closed manifold, oriented manifold of dimension -d. Let be the space of smooth loops in M. Chas and Sullivan defined a product on the homology H⋆(LM) of degree -d. They then investigated other structure that this product induces including a Batalin-Vilkovisky structure, and a lie algebra structure, and a lie algebra structure on the S1 equivariant homology HS1 ⋆ (LM). This algebraic structure as well as the others came under the general heading of the string topology of M
- Keywords:
- Operad ; Loop Homology ; String Homology ; Little Disk Operad ; Cocti Operad
محتواي کتاب