According to the Vermont
Senate Rules, you must swear the following oath: (bold case mine)
"I,
...., Senator from
..... County
(or Counties), in the General Assembly of the State of Vermont, do solemnly
swear, that as a Member of this Assembly, I will not propose or assent to any bill,
vote or resolution, which shall appear to me injurious to the people, nor do or
consent to any act or thing whatever that shall have a tendency to lessen or
abridge their rights and privileges, as declared by the Constitution of this State;
but will in all things conduct myself as a faithful, honest representative and
guardian of the people,
according to the best of my judgment and ability. So help
me God.
I do solemnly swear that I will be true and faithful to the State of
Vermont, and that I will not, directly or indirectly, do any act or thing injurious to
the Constitution or Government thereof. So help me God. I do solemnly swear that
I did not at the time of my election to this body, and that I do not now hold any
office of profit or trust under the authority of Congress. So help me God. I do
further solemnly swear that I will support the Constitution of the State of Vermont
and the Constitution of the United States. So help me God."
I don't see a way that "voting according to poll results" will match up with "the best of my judgement and ability" unless you have very little of either. Your idea negates the whole idea of representative government. Hopefully, we elect wise, thoughtful, and honest representatives to do the hard work of legislating
so that we don't have to. Direct democracy just isn't efficient - if you actually want to get anything else done.
Yes, the people of your district elect you. However, once you swear the oath of office, you must not forget your duty is to the State of Vermont. It is your sworn duty to make the best choice you can to the best of your judgement and ability, even if every single person in your district disagrees with you.