| Polyak-{ | hide text |
| 100708-153457: | Enumerative geometry and finite type invariants (5). |
| 100708-142040: | Enumerative geometry and finite type invariants (4). (more...) |
| 100708-140538: | Enumerative geometry and finite type invariants (3). |
| 100708-135858: | Enumerative geometry and finite type invariants (2). |
| 100708-134550: | Enumerative geometry and finite type invariants. |
| 100707-155604: | Alexander-Conway open-closed TQFT for tangles (9). (more...) |
| 100707-153826: | Alexander-Conway open-closed TQFT for tangles (8). |
| 100707-152657: | Alexander-Conway open-closed TQFT for tangles (7). |
| 100707-151941: | Alexander-Conway open-closed TQFT for tangles (6). |
| 100707-145957: | Alexander-Conway open-closed TQFT for tangles (5). |
| 100707-144818: | Alexander-Conway open-closed TQFT for tangles (4). |
| 100707-143533: | Alexander-Conway open-closed TQFT for tangles (3). |
| 100707-140037: | Alexander-Conway open-closed TQFT for tangles (2). |
| 100707-134559: | Alexander-Conway open-closed TQFT for tangles. (more...) |
| 100706-130845: | Invariants of links and 3-manifolds by counting surfaces (8). |
| 100706-121222: | Invariants of links and 3-manifolds by counting surfaces (7). |
| 100706-114537: | Invariants of links and 3-manifolds by counting surfaces (6). |
| 100706-112427: | Invariants of links and 3-manifolds by counting surfaces (5). |
| 100706-111229: | Invariants of links and 3-manifolds by counting surfaces (4). |
| 100706-110119: | Invariants of links and 3-manifolds by counting surfaces (3). |
| 100706-104601: | Invariants of links and 3-manifolds by counting surfaces (2). |
| 100706-103132: | Invariants of links and 3-manifolds by counting surfaces. (more...) |
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Abstract: Complex enumerative geometry deals with counting algebraic-geometric objects satisfying certain restrictions. I will discuss various real counterparts of such problems in different dimensions and with various tangency/passage conditions, involving both rigid algebraic and flexible differential-topological objects. I will then relate this type of problems to the theory of finite type invariants and propose a general setting to produce such invariants using maps of configuration spaces and homology intersections.
See also "Enumerative geometry and finite type invariants", on Misha Polyak's publications page.