4/5 Contact homology and virtual fundamental cycles
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| Title | 4/5 Contact homology and virtual fundamental cycles |
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| Part Number | 04 |
| Number of Parts | 5 |
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| License | CC Attribution 3.0 Unported: You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. |
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| Abstract | The goal of this course is to give a construction of contact homology in the sense of Eliashberg--Givental--Hofer. I will begin with an introduction to contact geometry, pseudo-holomorphic curves as introduced by Gromov, and some target applications of contact homology. The main focus will then be on extracting enough enumerative information (i.e. "virtual fundamental cycles") out of the relevant moduli spaces of pseudo-holomorphic curves. I will present a general framework for doing this, and then discuss the specific application to contact homology. |
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