|Affiliation||Tokyo Woman's Christian University|
|Time||Jan 9 16:00~16:20|
|Title||On Conway-Gordon type theorems for graphs in the Petersen family|
For every spatial embedding of each graph in the Petersen family, it is known that the sum of the linking numbers over all of the constituent 2-component links is congruent to 1 modulo 2. In this talk, we give an integral lift of the fact above in terms of the square of the linking number and the second coefficient of the Conway polynomial. This is a joint work with Ryo Nikkuni.